Home
Class 11
MATHS
Let P (3,2,6) be a point in space and Q ...

Let `P (3,2,6)` be a point in space and Q be point on the line `vecr = (hati - hatj + 2 hatk) + mu ( - 3 hati + hatj + 5 hatk).` Then the value of `mu` for which we vector `vec (PQ)` is parallel to the pplane `x - 4y + 3z =1` is

A

`1/4`

B

`-1/4`

C

`1/8`

D

`-1/8`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

find vecA xx vecB if vecA = hati - 2 hatj + 4 hatk and vecB = 3 hati - hatj + 2hatk

The distance between the line vecr = 2 hati - 2 hatj + 3 hatk + lamda ( hati - hatj + 4 hatk) and the plane vecr. (hati + 5 hatj + hatk) = 5 is

Find the scalar and vector products of two vectors. a = (3hati – 4hatj + 5hatk) and b = (– 2hati + hatj – 3hatk )

A unit vector parallel to the intersection of the planes vecr.(hati - hatj + hatk) =5 and vecr.( 2 hati + hatj - 3 hatk) =4 is

The distance between the line vecr = 2hati - 2hatj + 3hatk + lambda (hati-hatj + 4hatk) and the plane vecr. (hati + 5hatj + hatk) = 5 is

If vecF = 3hati - 4hatj+5hatk and vecS=6hati +2hatj+5hatk , the find the work done.

The angle between two vectors 6 hati + 6 hatj- 3hatk and 7 hati + 4 hatj + 4hatk is given by

The line through hati + 3 hatj + 2 hatk and bot to the line vecr = (hati + 2 hatj - hatk) + lamda ( 2 hati + hatj + hatk) and (2 hati + 6 hatj + hatk) + mu ( hati + 2 hatj + 3 hatk) is

If the vectors 2 hati +2 hatj - hatk and 3 hati - 6hatj +nhatk are mutually perpendicular, find the value of n ?