Home
Class 12
MATHS
The vector equation of a plane passing t...

The vector equation of a plane passing through three points
`hati+hatj-2hatk, 2hati-hatj+hatk" and " hati+2hatj+hatk` is

A

(a) `barr.(9hati-3hatj-hatk)=14`

B

(b) `barr.(9hati+3hatj-hatk)=14`

C

(c) `barr.(9hati+3hatj+hatk)=14`

D

(d) `barr.(9hati+3hatj-hatk)=7`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The equation of plane passing through (0,1,2) and parallel to the vectors 3hati+hatj+hatk" and " -hati+2hatj-5hatk is

The vector equation of the line passing through hati-hatj+3hatk and parallel to 3hati+2hatj-5hatk is

The vector eqution of the plane passing through a point having position vector hati-hatj+hatk and parallel to the vectors 2hati+hatj+hatk" and " hatj+2hatk is

The vector equation of the plane passing through the intersection of the planes barr.(hati-hatj+2hatk)=3" and "barr.(3hati-hatj-hatk)=4 is

The vector equation of the plane passing through the point (-1 ,2 , -5) and parallel to vectors 4hati-hatj+3hatkand hati+hatj-hatk is

The equation of plane passing through mid-point of the joining hati+2hatj+4hatk" and "-hati+2hatj-6hatk and perpendicular to it is

The vector equation of the line passing through (2, 1, -1) and parallel to hati+2hatj+hatk is

The vector equation of the plane passing through the intersection of the planes bar r.(3hati+4hatj)=1" and "bar r.(hati-hatj-hatk)=4 and the point (1,2,-1) is

Find the equation of a line passing through the point (2hati-3hatj-5hatk) and perpendicular to the plane vecr.(6hati-3hatj+5hatk) +2=0 .

Find the vector equation of the plane in which the lines vecr=hati+hatj+lambda(hati+2hatj-hatk) and vecr=(hati+hatj)+mu(-hati+hatj-2hatk) lie.