Let and be two points in space.

MATHEMATICS · Multi-part · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

P(2,-1,5)

and

Q(-4,3,1)

be two points in space. (i) Write the vector

\overrightarrow{PQ}

in component form. (ii) Find the unit vector along

\overrightarrow{PQ}

, expressing each component in simplest radical form. (iii) Rationalise any surds that appear in the denominator of your final answer.