Find the value of m for which thestraigh...

Find the value of `m` for which thestraight line `3x-2y+z+3=0=4x=3y+4z+1` is parallel to the plane `2x-y+m z-2=0.`

A

-2

B

8

C

-18

D

11

Text Solution

Verified by Experts

The correct Answer is:

A

Vector `((3hati-2hatj+hatk)xx(4hati-3hatj+4hatk))` is perpendicular to `2hati-hatj+mhatk`. Thus,
`|[3,-2,1],[4,-3,4],[2,-1,m]|=0orm=-2`

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