The value of m for which straight lein 3...

The value of `m` for which straight lein `3x-2y=z+3=04 x-3y+4z+1` is parallel to the plane `2x-y+m z-2=0` is a. `-2` b. `8` c. `-18` d. `11`

A

`-2`

B

`8`

C

`-18`

D

`11`

Text Solution

Verified by Experts

The correct Answer is:

A

Vertor `((3hati-2hatj+hatk)xx(4hati-3hatj+4hatk))` is perpendicular to
`2hati-hatj+mhatk` thus
`|{:(3,-2,1),(4,-3,4),(2,-1,m):}|=0` or `m=-2`

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