For the points

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

Problem

For the points

A(1,2,3)

B(4,0,1)

and

C(-1,5,2)

: (i) Find a unit vector perpendicular to both

\overrightarrow{AB}

and

\overrightarrow{AC}

. (ii) Using this result, calculate the area of triangle

ABC

(give your answer correct to two decimal places).