If the position vector of a point P with respect to origin O is î + 3ĵ - 2k̂ and that of a point Q is 3î + ĵ - 2k̂, then what is the position vector of the bisector of the angle POQ?

Question

Question

Answer 1

Concept:

A triangle ABC is said to be an isosceles triangle if triangle ABC must have two sides of equal length.

Calculations:

Given, the position vector of a point P with respect to origin O is î + 3ĵ - 2k̂ and that of a point Q is 3î + ĵ - 2k̂.

⇒ = î + 3ĵ - 2k̂ and = 3î + ĵ - 2k̂.

⇒ |OP| =

⇒ |OQ| =

Here, |OP| = |OQ|

is isoscale.

The position vector of the bisector of the angle POQ =

⇒The position vector of the bisector of the angle POQ =