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 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 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 type of vectors have the same magnitude but different directions?

a) Equal vectors

b) Unit vectors

c) Zero vectors

d) Collinear vectors

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 position vector of a point P is given by:

a) OP

b) PQ

c) PR

d) OQ

Which of the following is a scalar quantity?

a) Force

b) Velocity

c) Distance

d) Displacement

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

a) Vector quantity

b) Scalar quantity

c) Unitless quantity

d) Complex quantity

The magnitude of a vector is always:

a) Positive

b) Negative

c) Zero

d) Either positive or negative

The direction cosines of a vector are:

a) Unit vectors

b) Scalars

c) Ratios

d) Angles