If and are two points in space

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

Problem

A(x_1,y_1,z_1)

and

B(x_2,y_2,z_2)

are two points in space, which of the following expressions represents the vector

\overrightarrow{AB}

in component form? (a)

\dfrac{x_1+x_2}{2}\hat{i}+\dfrac{y_1+y_2}{2}\hat{j}+\dfrac{z_1+z_2}{2}\hat{k}

(b)

(x_2-x_1)\hat{i}+(y_2-y_1)\hat{j}+(z_2-z_1)\hat{k}

(c)

(x_1-x_2)\hat{i}+(y_1-y_2)\hat{j}+(z_1-z_2)\hat{k}

(d)

(x_1+x_2)\hat{i}+(y_1+y_2)\hat{j}+(z_1+z_2)\hat{k}