Home
Class 12
MATHS
Find the vector equation of the line pas...

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane `vecr.(hati+2hatj-5hatk)+9=0`

A

`-acdothat(n)`

B

`a-2(d-ahat(n))hat(n)`

C

`a+2(d-ahat(n))hat(n)`

D

`a+d(-acdothat(n)`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr.(hati-hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6

Find the equation of the plane passing through (a, b, c) and parallel to the plane vecr.(hati+hatj+hatk)=2 .

Find the equation of the plane passing through the point (3, 4, -1) and parallel to the plane vecr.(2hati-3hatj+5hatk)+2=0

Find the vector equation of the plane passing through the intersection of the planes vecr.(2hati+2hatj-3hatk)=7,vecr.(2hati+5hatj+3hatk)=9 and through the point (2, 1, 3).

Find the vector equation of the plane passing through the intersection of the planes vecr * ( hati + hatj + hatk ) =6 and vecr * ( 2 hati + 3 hatj + hatk )=-5 and the point ( 1,1,1) .

Find the cartesian equation of the plane through the point (2,-1, 1) and perpendicular to the vector 4hati+2hatj-3hatk .

Find the vector equation of the plane passing through the intersection of the planes vecr.(hati+hatj+hatk)=6 and vecr.(2hati+3hatj+4hatk)=-5 and the points (1,1,1).

Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 3hati+2hatj-2hatk .

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+3hatj-hatk)=0 and vecr.(hatj+2hatk)=0 and also passing through the point 2hati+hatj-hatk .

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+hatj+hatk)=1 and vecr.(2hati+3hatj-hatk)+4=0 and parallel to X- axis.