Let and be the position vectors of points and respectively

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

\mathbf{a}

and

\mathbf{b}

be the position vectors of points

A

and

B

respectively. Which of the following vectors gives the position vector of the midpoint

M

of the segment

AB

? (a)

\dfrac{\mathbf{a}-\mathbf{b}}{2}

(b)

\mathbf{a}+\mathbf{b}

(c)

2(\mathbf{a}+\mathbf{b})

(d)

\dfrac{\mathbf{a}+\mathbf{b}}{2}