﻿ The position vectors of the vertices A, B, C of a âˆ†ABC are  respectively. The length of the bisector AD of the angle ∠BAC where D is on the line segment BC, is      : Kaysons Education

# The Position Vectors Of The Vertices A, B, C of A âˆ†ABC are  respectively. The Length Of The Bisector AD of The Angle ∠BAC where D is On The Line Segment BC, Is

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## Question

### Solution

Correct option is

None of these

We have,

Clearly, point D divides BC in the ratio ABAC i.e. 1 : 3.

#### SIMILAR QUESTIONS

Q1

If O and O denote respectively the circum-centre and orthocenter of âˆ†ABC, then

Q2

Consider âˆ†ABC and âˆ†A1B1C1 in such a way that  and M, N, M1, N1 be the mid-point of AB, BC, A1B1 and B1C1 respectively. Then,

Q3

Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin, then  equals

Q4

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Q5

Given that the vectors  are non-collinear, the values of x and yfor which the vector equality  holds true if  are

Q6

Let  be three non-zero vectors, no two of which are collinear. If the vector  is collinear with  is collinear with  is equal to

Q8

If the position vector of the three points are ,

then the three points are

Q9

Three points with position vectors  will be collinear, if there exist scalars xyz such that

Q10

Consider points ABC and D with position vectors

respectively. Then, ABCD is a