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The equation of a line passing through...

The equation of a line passing through the point ` vec a` parallel to the plane ` vec r. vec n=q` and perpendicular to the line ` vec r= vec b+t vec c` is a. ` vec r= vec a+lambda( vec nxx vec c)` b. `( vec r- vec a)xx( vec nxx vec c)` c. ` vec r= vec b+lambda( vec nxx vec c)` d. none of these

A

`vecr=veca+lamda(vecnxxvecc)`

B

`(vecr-veca)xx(vecnxxvecc)=0`

C

`vecr=vecb+lamda(vecnxxvecc)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
a, d

Required line is parallel to `vecnxxvecc`
The equation of line is `vecr= veca+lamda(vecnxxvecc)`
or `" "(vecr-veca)=lamda(vecnxxvecc)`
`therefore" "(vecr-veca)xx(vecnxxvecc)=0`
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