Vector Algebra Class 12 Mcq Test (121001)

Which of the following is a scalar quantity?

a) Force

b) Velocity

c) Distance

d) Displacement

The position vector of a point P is given by:

a) OP

b) PQ

c) PR

d) OQ

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

a) Vector quantity

b) Scalar quantity

c) Unitless quantity

d) Complex quantity

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 direction cosines of a vector are:

a) Unit vectors

b) Scalars

c) Ratios

d) Angles

The magnitude of a vector is always:

a) Positive

b) Negative

c) Zero

d) Either positive or negative

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 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

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