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Line vec r= vec a+lambda vec b will not...

Line ` vec r= vec a+lambda vec b` will not meet the plane ` vec rdot vec n=q ,` if a. ` vec bdot vec n=0, vec adot vec n=q` b. ` vec bdot vec n!=0, vec adot vec n!=q` c. ` vec bdot vec n=0, vec adot vec n!=q` d. ` vec bdot vec n!=0, vec adot vec n=q`

A

`vecb.vecn=0,veca.vecn=q`

B

`vecb.vecn" "ne0,veca.vecn" "ne q`

C

`vecb.vecn=0,veca.vecn" "ne q`

D

`vecb.vecn" "ne0,veca.vecn" "ne q`

Text Solution

Verified by Experts

The correct Answer is:
c
we must have `vecb.vecn=0` (because the line and the plane must be parallel) and `veca.vecn""neq` (as point `veca` on the line should not lie on the plane).
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