Home
Class 12
MATHS
The position vectors of the points A,B a...

The position vectors of the points A,B and C are `hati+2hatj-hatk,hati+hatj+hatk and 2hati+3hatj+2hatk`, respectively. If A is chosen as the origin, then the position vectors of B and C are

A

`hati+2hatk,hati+hatj+3hatk`

B

`hatj+2hatk,hati+hatj+3hatk`

C

`-hatj+2hatk,hati-hatj+3hatk`

D

`-hatj+2hatk,hati+hatj+3hatk`

Text Solution

Verified by Experts

The correct Answer is:
D
`OA=hati+2hatj-hatk,OB=hati+hatj+hatk`
and `OC=2hati+3hatj+2hatk`
Position vector of B w.r.t. origin at A at
`AB=OB-OA=-hatj+2hatk`
Position vector of C w.r.t. origin at A is
`AC=OC-OA=hati+hatj+3hatk`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

The position vectors of the vertices A,B and C of a triangle are hati-hatj-3hatk,2hati+hatj-2hatk and -5hati+2hatj-6hatk , respectively. The length of the bisector AD of the angleBAC , where D is on the segment BC, is

If the position vectors of the vertices A,B and C of a DeltaABC are 7hatj+10k,-hati+6hatj+6hatk and -4hati+9hatj+6hatk , respectively, the triangle is

The position vectors of A and B are 2hati-9hatj-4hatk and 6hati-3hatj+8hatk respectively, then the magnitude of AB is

If the position vectors of the points A and B are hati+3hatj-hatk and 3hati-hatj-3hatk , then what will be the position vector of the mid-point of AB

If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2hatj+4hatk) , then |PQ| is

If the position vectors of the vertices of a triangle be 2hati+4hatj-hatk,4hati+5hatj+hatk and 3 hati+6hatj-3hatk , then the triangle is

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

If the position vectors of A,B,C and D are 2hati+hatj,hati-3hatj,3hati+2hatj and hati+lamda hatj respectively and vec(AB)||vec(CD) . Then lamda will be