Class 12

Math

Algebra

Vector Algebra

Show that the vector $i^+j^ +k^$is equally inclined to the axes OX, OY and OZ.

**Solution: **Solution: $a=pi^+qj^ +rk^$

$cosα=p_{2}+q_{2}+r_{2} p $

$cosβ=p_{2}+q_{2}+r_{2} q $

$cosγ=p_{2}+q_{2}+r_{2} r $

$cosα=1+1+1 1 =3 1 $

similarly,

$cosβ=3 1 andcosγ=3 1 $

$cosα=cosβ=cosγ$