Home
Class 12
MATHS
The position vectors of P and Q are 5hat...

The position vectors of `P and Q` are `5hati+4hatj+ahatk and -hati+2hatj-2hatk`, respectively. If the distance between them is 7, then find the value of `a`.

A

`-5,1`

B

`5,1`

C

`0,5`

D

1,0

Text Solution

Verified by Experts

The correct Answer is:
A
`7=sqrt((5+1)^(2)+(4-2)^(2)+(a+2)^(2))`
`implies a+2=+-3impliesa=-5,1`
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If the position vectors of P and Q are hati+2hatj-7hatk and 5hati-3hatj+4hatk respectively, the cosine of the angle between PQ and Z-axis is

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

The position vectors of A and B are hati-hatj+2hatk and 3hati-hatj+3hatk . The position vector of the middle points of the line AB is

If the position vectors of A and B are hati+3hatj-7hatk and 5hati-2hatj+4hatk , then the direction cosine of AB along Y-axis is

If the position vectors of A and B respectively hati+3hatj-7hatk and 5 hati-2hatj+4hatk , then find vec(AB)

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 three points A,B and C are collinear, whose position vectors are hati-2hatj-8hatk,5hati-2hatk and 11hati+3hatj+7hatk respectively, then the ratio in which B divides AC is