Vector Algebra Class 12 Mcq Test (121001)

The addition of two vectors can be represented by the:

a) Sum of their magnitudes

b) Sum of their directions

c) Sum of their components

d) Sum of their coefficients

The components of a vector in a 2D coordinate system are given by:

a) Magnitude and direction

b) x and y coordinates

c) Length and width

d) Origin and endpoint

The position vector of a point dividing a line segment AB in the ratio m:n is given by:

a) mAB + nBA

b) mOA + nOB

c) m(A + B)

d) (m/n)AB

The scalar product (dot product) of two vectors is a:

a) Vector quantity

b) Scalar quantity

c) Unitless quantity

d) Complex quantity

The negative of a vector is obtained by:

a) Changing its magnitude to negative

b) Reversing its direction

c) Dividing it by -1

d) Adding a zero vector

Which of the following vectors is collinear with a zero vector?

a) Any vector

b) Only the zero vector

c) Only unit vectors

d) Only parallel vectors

Which type of vectors have the same magnitude but different directions?

a) Equal vectors

b) Unit vectors

c) Zero vectors

d) Collinear vectors

The magnitude of a vector is always:

a) Positive

b) Negative

c) Zero

d) Either positive or negative

The vector product (cross product) of two parallel vectors is:

a) Zero

b) A scalar

c) Undefined

d) Equal to the sum of both vectors

The cross product of two vectors results in a vector that is:

a) Perpendicular to both vectors

b) Parallel to both vectors

c) Collinear with both vectors

d) Equal to the sum of both vectors