Scalars and Vectors

A force has moves its point of application form (2,3) to (6,5). What is work done?

The scalar product of and is:

If the force of magnitude 8 N acts on a body in direction making an angle 30, its X and Y components will be:

Unit vector in the direction of vector will be:

The difference of a vector and its negative vector is:

If a force of magnitude 8 N acts on a body in direction making an angle 30, its x and y components will be:

If length of a spanner is ‘I’ and a force ‘F’ is applied on it to tighten a nut such that it passes through the pivot point, then torque is:

For a body to be in complete equilibrium:

If we double the moment arm, the value of torque becomes:

A force F is applied to a beam at a distance d from a pivot. The force acts at an angle ø to a line perpendicular to the beam.Which combination will cause the largest turning effect about the pivot?

If two forces F₁ and F₂ act on a body and are balanced by a frictional force F₃ so that the body is in equilibrium, then which of the following diagrams correctly represents the sum of vectors?

If and , then the magnitude of will be:

Numbers are expressed in standard form called scientific notation, which employs powers of:

The vectors A and B are such that |A + B| = |A – B|, then the angle between the two vectors is:

If x-component of a vector is and y-component is 1, then the angle made by the vector along x-axis is:

Two forces, 5 N and 10 N are acting at ‘O’ and ‘P’ respectively on a uniform rod of 100 cm is suspended at the position of center of gravity 50 cm mark as shown in the figure. What is position of P on meter rod?

The acceleration is a _.

Vector is quantity that ------.

Which unit is used in the measurement of Displacement?

Velocity is a:

Consider a car is travelling for one hour. Which of the following trips have the same average velocity?

Displacement is a:

The displacement has _.

If a rotating body is moving anti-clockwise, the direction of angular velocity is:

Instantaneous velocity is:

Which quantity is a scalar quantity?

Work is a:

Displacement of sun with respect to earth is:

A constant force is applied on a body. What will be the work done to move the body 5m in the z-direction?

The vector product of two vectors A and B is _ vectors A and B.

The scalar or dot product of Vectors and is ____________.

A body will be in translational equilibrium if the vector sum of all the forces acting on it is:

A vector in space has _ dimension:

If represents a unit vector, the value of ‘c’ is:

If A = B + C and A, B, C have scalar magnitudes of 5, 4, 3 units respectively then the angle between vector A and vector C is:

Which pair includes a vector quantity and a scalar quantity respectively?

The resultant of two forces has magnitude of 20N. If one of the forces is of magnitude 20√3 N and makes an angle of 30° with the resultant, then the other forces must be of magnitude:

Two vectors S and R are such that S= 4, R= 6 and S.R= 13.5. Find the angle between S and R?

Evaluate the scalar product of the following: k.( i + j) ?

What is the projection of onto the direction of vector F=i+2j+2k?

The scalar product of ?

Find the work done in moving an object along a straight line from (3,2,−1) to (2,−1,4) in a force field given by

If , then the unit vector parallel to A will be:

R₁ and R₂ are two-position vectors making angles with positive X-axis respectively. Their vector product is:

All of the following is/are scalar quantities except:

Find the unit vector parallel to the vector:

A vector such as the velocity of a body undergoing uniform translational motion, which can be displaced parallel to itself and applied to any point is known as:

A particle moves from position r= 3i+2j-6k to r= 14i+13j+9k under the action of a Force F= 8i+2j+6k. Find the work done by the force:

If . Find a vector x which is parallel to A but has the magnitude of B?

If the unit vectors i, j, k are perpendicular to each other therefore;______ . ______

The process by which a vector can be reconstituted from its components is known as:

If lies in the 4th quadrant and makes an angle of 60° with y axis, what is its direction given by?

The components of a vector behave like:

If a vector A lies in xy-plane and it makes an angle ‘θ’ with the side of y-axis. Then its y component is:

The angle between the rectangular components of a vector is always

The magnitude of resultant of two vectors acting at right angle is-----------------than the individual vectors.

The resultant vector of two vectors will be zero if

A vector lying along x-axis has

If the magnitudes and directions of two vectors are same then these two vectors are

A vector whose tail lies at the origin of the coordinates and whose head lies at the position of point 'P' in space, known as

Vector addition is

To add all vectors we add their representative lines by

The sum of two vectors equal in magnitude but opposite in direction is

Vector A has the same magnitude as B but opposite in direction, then A is said to be

The length of the arrow represents the _ of a vector

Choose the vector

The quantities which can be added, subtracted and multiplied by simple algebraic rules are:

The projection of A = 2i-3j+6k onto the direction of vector B = i+2j+2k is

(6i+4j-k) . (4i+2j-2k) = ?

Two forces of magnitude 8N and 15N respectively act at a point. If the resultant force is 17N, the angle between the forces is:

The resultant of two forces P and Q is of magnitude P. If the force P is doubled, remaining the same, then angle between new resultant and the force Q is

The scalar product of two vectors is zero, when:

Two forces of 8N and 6N are acting simultaneously at right angle, the resultant force will be

If two vectors lie in xy-plane, their cross product lies

The magnitude of the vector product of two vectors A and B may be: (a) Greater than AB (b) Equal to AB (c) less than AB (d) equal to 0

The dot product of iˆ and jˆ is

In graphical addition of vectors

The sum and difference of two vectors are equal in magnitude. The angle between the vectors is

Negative of a vector has a direction _ that of the original vector

The position vector of a point p is a vector that represents its position with respect to

A vector in any given direction whose magnitude is unity is called

A vector which can be displaced parallel to itself and applied at any point is known as

When a vector is multiplied by a negative number, its direction

For the addition of any number of vectors in a given coordinate system the first step is to

The vector quantity which is defined as the displacement of the particle during a time interval divided by that time interval is called

Scalar quantities have

The following physical quantities are called vectors

Which of the following group of quantities represent the vectors

The acceleration vector for a particle in uniform circular motion in

Electric intensity is a

In contrast of a scalar a vector must have a

The cross product of two vector A and B in the form of their components A_x, A_y, A_z, and B_x, B_y, B_z, is defined as _

The vector product of a vector by itself is:

The vector product C of two vectors A and B making an angle θ with each other is defined as:

The scalar product of A and B in the form of the components A_x, A_y, A_z, and B_x, B_y, B_z, is defined as:

The scalar product of a vector A with itself i.e. A . A is called:

If the vectors A . B = 0, either the vectors are mutually perpendicular to each other or one or both vectors are:

A simple example of a dot product is the:

For a force F, F_x = 6 N and F_y = 6 N. What is the angle between F and x-axis:

In a right angled triangle, cosθ=

A vector having an arbitrary direction and zero magnitude is called:

A vector whose magnitude or modulus is one and it points in the direction of a given vector is called:

A physical quantity which requires magnitude in proper units as well as direction is called:

A physical quantity which is completely described by a number with proper units is called:

If A = 3i + 6j, B = xi + k and A.B = 12, then x will be equal to:

Two vectors of magnitude 20 N and 2m are acting in opposite directions. Their scalar product will be:

If A = 2i + 2j and B = -2i + 2j, then A.B will be equal to:

When a force of 10 N is acting on a body making an angle of 60° with x-axis and displaces this body through 10 m, then scalar product of force and displacement is:

If A = 3i + 4j, then the magnitude of A will be:

If x-component of a vector is 3 N and y-component is -3 N, then angle of the resultant vector with x-axis will be:

The magnitude of i.(i x k) is:

The product i × j is equal to:

If A = A i and B = B j, then A . B is equal to:

The cross product of a vector A with itself is:

If cross product between two non zero vectors A and B is zero ,then their dot product is:

If A = A_xi + A_yj and B = B_xi + B_yj, then A.B will be equal to:

If two forces each of magnitude 5N act along the same line on a body, then the magnitude of their resultant will be:

Two forces of same magnitude are acting on an object, the magnitude of their resultant is minimum if the angle between them is:

A force of 20N is acting along x-axis, its component along x-axis is:

When two equal and opposite vectors are added, then their resultant will have:

If a vector A = iˆ + jˆ + kˆ , its magnitude will be:

A vector having magnitude equal to given vector but in opposite direction is called:

The angle of a vector A = A_xi - A_y j with the x-axis will be in between:

When the product of two vectors is a scalar quantity, it is called:

The unit vector of a vector A of magnitude 2 is:

Unit vector is used to specify:

If two equal unit vectors are inclined at an angle of 90°, then magnitude of their resultant will be:

The magnitude of resultant of three vectors is 3. Its x-component is 2 and it's y-component is 1. Its z- component will be:

If r = 2iˆ m and p = 12 jˆ kgms^-1, the r × p will be:

If B = iˆ -2 jˆ +2 kˆ , then unit vector along B will be:

A force of 10N is acting on a body making an angle of 45° with x-axis. Its x and y components are:

The vector product between two vectors A and B is:

If |F₁| =3cm and |F₂| =4cm, F₁ is making an angle of 30° and F₂ is making an angle of 120° with the x-axis, then their scalar product is:

Two forces of same magnitude F act on a body inclined at an angle of 90°, then the magnitude of their resultant is:

The magnitude of a vector A= A_xi +A_yj +A_zk is:

If displacement of a body is d = 3i, its only significance is:

The question is given below:

The angle between the vectors in the following question is:

Dot or scalar product obeys the:

The unit vector in the direction of vector A:

Which one is correct?

The magnitude of a vector is obtained by:

Two vectors of magnitudes A₁ and A₂ acting at right angles to each other have the resultant of magnitude:

Two vectors of magnitude A₁ and A₂ inclined at each other at an angle θ have resultant of magnitude equal to:

The magnitude of cross product of two parallel vectors a and b is equal to:

The y-component of a vector 100N force, making an angle of 30° with the x-axis is:

If the dot product of two non-zero vectors A and B is zero, their cross product will be of magnitude:

The magnitude of.....

The cross product of vector A with itself ( A x A ) is equal to:

The cross product of two parallel vectors A and B (i.e. A x B) is equal to:

The cross-product of two vectors is a negative vector when:

The scalar product of two vectors is negative when:

For a vector V:

If two non-zero vectors a and b are parallel to each other, then:

Dot product of two non-zero vectors is zero ( a . b = 0) when angle between them is be:

If the dot product of two non-zero vectors vanishes, the vectors will be:

If the vectors A and B are of magnitude 4 and 3 cm making of 30° and 90° respectively with X- axis, their scalar product will be:

The scalar or dot product of A with itself i.e. A . A is equal to:

When two equal forces F and F make an angle of 180° with each other, the magnitude of their resultant is:

Two forces each of 10N magnitude act on a body. If the forces are inclined at 30° and 60° with x- axis, then the x-component of their resultant is:

If a force of 10N makes an angle of 30° with x-axis, its x-component is given by:

The minimum number of unequal forces whose vector sum can be zero is:

When a certain vector is multiplied by -1, the direction changes by:

The F_x component of a force vector 'F' of magnitude 30N make an angle of 60° with X-axis is:

A vector which has magnitude ‘one’ is called:

Position vector of point in xy-plane is given by:

If the resultant of two vectors each of magnitude F is also of magnitude F, the angle between them will be:

If A × B points along positive z-axis then the vectors A and B must lie in:

If a charged particle of mass m and charge q is projected across uniform magnetic field B with a velocity V, it experience magnitudes force given by:

Two forces each of magnitude F act perpendicular to each other. The angle made by the resultant force with the horizontal will be:

If A.B = 0, we conclude that:

If two forces act together on an object then the magnitude of the resultant is least when the angle between the forces is:

A vector is multiplied by positive number then:

Cross product of two vectors is zero when they are:

If a vector α makes an angle θ with the x-axis its x-component is given as:

Scalar product is also known as:

Scalar product is also called:

The scalar product of two vectors is negative when they are:

Angular momentum is:

If two vectors are anti-parallel, scalar product is equal to the:

When three forces acting at a point are in equilibrium:

If A and B are two vectors, then the correct statement is:

Two vectors having different magnitudes:

Which of the following quantity is scalar?

Two forces 3N and 4N are acting on a body, if the angle between them is 90 then magnitude of resultant force is:

The angle between rectangular components of vector is:

Vectors are added graphically using:

Physical resultant of two or more vectors is a single vector whose effect is same as the combine effect of all the vectors to be added is called:

Physical quantities represented by magnitude are called:

Let us take i, j and k be three unit vectors such that:

A vector whose magnitude is same as that of A, but opposite in direction is known as

Which of the following is the example of vector quantity?

Which of the following is the example of scalar quantity?

Which one of the following is the vector quantity?

Which one of the following is the scalar quantity?

Vectors are the physical quantity which are completely represented by their magnitude as well as in proper _ .

Which of the following is not a vector quantity?

Identify the scalar quantity.

Identify the vector quantity.

A horse is pulling a cart exerting a force of 100 N at an angle of 30 to one side of motion of the cart. Work done by the horse as it moved 20m is

A force of 30 N acts on a body and moves it 2m in the direction of force. The work done is

Xand Y-components of the velocity of a body are 3 ms^-1 and 4 ms^-1 respectively. The magnitude of velocity is

A vector in space has

If A . B = 0 and also A × B = 0, then

When we take scalar product of a vector by itself (self product) the result gives the:

The position vector of a point in xz-plane is given by

Which of the following is true?

The cross product ( A × B ) of two non-zero parallel vectors is equal to

The cross product of vector F with itself (i.e. F × F ) is equal to

Area of the parallelogram in which the two adjacent sides are A and B is given by

If (a x b ) points along positive z-axis, then the vectors a and b must lie in

The vector product of two vectors is zero, when

The dot product of two vectors is negative when

If two non-zero vector A and B are parallel to each other then A . B is equal to

If the dot product of two non-zero vectors vanishes, the vectors will be

If A =Ai ,B=A j , then A.B is equal to

The scalar product of two vectors is zero, when

The dot product of two vector A and B making an angle θ with each other is

The scalar product of a vector F with itself is equal to

If two forces of 10N and 20N are acting on a body in the same direction, then their resultant is

Two equal forces F and F make an angle of 180° with each other, the magnitude of their resultant is

The resultant of two forces each of magnitude F is 2F, then the angle between them will be

A force F of magnitude 20N is acting on an object making an angle of 30° with the X-axis. Its F_y component is

Geometrical method of addition of vectors is

Two forces of 10N and 15N are acting simultaneously on an object in the same direction. Their resultant is

Two forces are acting together on an object. The magnitude of their resultant is minimum when the angle between force is

A force of 10N is acting along y-axis. Its component along x-axis is

The rectangular components of a vector have angle between them

If a vector is divided by its magnitude, we get

A vector which specifies the direction is called:

A vector having zero magnitude is called:

A vector having magnitude as one, is known as:

Which of the following list of physical quantities consists only of vectors?

Which of the following is the only vector quantity?

Which of the following is a scalar quantity?

A vector is a physical quantity which is completely specified by:

A scalar is a physical quantity which is completely specified by:

If i, j, and k are unit vectors along x, y, and z-axis, then k x j =?

Let we have three vectors A, B and C, then according to distributive law with respect to addition.

In cross product, i x i = j x j = k x k =

If A × B = 0 then:

The vector product of two vector L and M can be determined by the formula _.

Let we have three vectors A , B and C , then according to distributive law:

Let we have two vectors X and Y , and if X .Y = 0, then:

If L . M = M . L , then we can say:

The cosine of an angle is negative in _ quadrants.

The tangent of an angle is positive in first and _ quadrant.

“Cos θ ” is positive in first and _ quadrant.

“Sin θ ” is _ in second quadrant and first quadrant.

The scalar product of two vectors L and M is defined as _

When the multiplication of two vectors result into a vector quantity, then the product is called _.

The product of two vector is called scalar or dot product when they give_.

The x-component of the resultant is positive and its y-component is negative, then the result is true for:

If the x-component of the resultant is negative and its y-component is positive, the result is true for:

If a vector Z having three components (Z_x, Z_y, Z_z) along x, y and z-axis, then it can be written as _.

In three dimensional space, the position vector of a point P(a, b, c) is represented by r and is written as _.

Let we have a vector F, then its vertical component is written as:

Let we have a vector F, then its horizontal component is written as:

If B_x and B_y are the magnitudes of the components and iˆ and j ˆ are the unit vectors along x and y axis, then we can write:

If F_x and F_y are the components of vector F, then we can write as_.

If we replace vector F into two components F_x and F_y then F_x and F_y are called_respectively.

The process of replacing one vector by two or more parts is called_.

Let we have two vectors A and B, then according to subtraction of vector, we can write _.

Let we have two vectors B₁ and B₂, then we can write as:

S_ymbol “ Σ ” is known as _.

A.B = B.A =_.

If we multiply vector  by -1, then its direction changes by _.

If we multiply vector z by -4, then we can write it as:

If we multiply vector A by 14, then we can write it as:

The null-vector has _ magnitude.

The negative of vector C is represented as:

In negative of a vector, a vector has same magnitude but _ direction.

Along the three mutually perpendicular axes x, y and z, the unit vectors are denoted by:

The formula of unit vector is defined as_.

The unit vector of z is represented as:

The vector whose magnitude is equal to one is called_.

The magnitude of a vector C is represented as _.

The module is another name of _ of the vector.

We can write vector C as:

When the product of two vectors gives us a vector quantity then the product is termed as:

Momentum is a _ quantity.

Speed is a _ quantity.

Velocity is a_quantity.

The vector quantities are described by their magnitude as well as _

The scalar quantities are described by their magnitude and _

The force on a particle with charge q and velocity in a magnetic field B is given by:

The torque is given by the formula:

Question is given below:

If iˆ , jˆ , kˆ are unit vectors along x, y and z-axes then kˆ . jˆ = _

The magnitude of vector product of two vectors A & B is given by:

In vector product, the direction of product vector can be found by the:

In the vector product of two vectors A & B the direction of the product vector is:

If A , B , C are three vectors, then the distributive law can be written as:

If dot product of two vectors which are not perpendicular to each other is zero, then either of the vectors is:

iˆ . iˆ = jˆ . jˆ = kˆ . kˆ = _

If iˆ , jˆ , kˆ are unit vectors along x, y and z-axes then iˆ . jˆ = jˆ . kˆ = kˆ . iˆ = ?

If two vectors are perpendicular to each other, their dot product is:

The scalar product of a vector A is given by:

Work is defined as:

The magnitude of product vector C i.e. A × B = C , is equal to the:

The scalar product of two vectors F and V with magnitude of F and V is given by:

The scalar product of two vectors A and B is written as:

Scalar product is obtained when:

If the x-component of the resultant of two vectors is positive and its y-component is negative, the resultant subtends an angle of _ on x-axes.

The tangent of an angle is positive in_quadrants.

The cosine of an angle is negative in_quadrants.

The sine of an angle is positive in_quadrants.

The y-component of the resultant of ŋ vectors can be obtained by the formula: