﻿  The vector  bisecting the angle AOB and C being a point on the line AB is   : Kaysons Education

# The Vector  bisecting The Angle AOB and C being A Point On The Line AB is

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## Question

### Solution

Correct option is

Taking O as the origin, the position vectors of A and B are  respectively.

So, the bisector OC of  meets AB at its mid-point C.

ALITER:-  The vector equation of the bisector of ∠AOB is given by

The vector equation of line AB is

For the point C to lie on AB, we must have

#### SIMILAR QUESTIONS

Q1

ABCD is a parallelogram with AC and BD as diagonals. Then,

Q2

If OACB is a parallelogram with

Q3

If G is the intersection of diagonals of a parallelogram ABCD and O is any point, then

Q4

Let G be the centroid of âˆ† ABC. If  in terms of , is

Q5

The position vectors of the points ABC are ,

respectively. These points

Q6

If the points with position vectors  are collinear, then p =

Q7

If the position vector of a point A is  divides AB in the ratio 2 : 3, then the position vector of B is

Q8

If  are three non-zero vectors, no two of which are collinear and the vector  is collinear with  is collinear with , then

Q9

If points  are collinear, then a is equal to

Q10

If the vector  bisects the angle between the vector  and the vector  then the unit vector in the direction of  is