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$The value of m for which straight line 3 x - 2 y + z + 3 = 0 = 4 x - 3 y + 4 z + 1 is parallel to the plane$
$2 x - y + m z - 2 = 0 is$

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detailed solution

Correct option is A

Vector ((3i^−2j^+k^)×(4i^−3j^+4k^)) is perpendicular to 2i^−j^+mk^. Thus, 3−214−342−1m=0 or m=−2

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The value of m for which straight line 3x−2y+z+3=0=4x−3y+4z+1 is parallel to the plane 2x−y+mz−2=0 is

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$The value of m for which straight line 3 x - 2 y + z + 3 = 0 = 4 x - 3 y + 4 z + 1 is parallel to the plane$
$2 x - y + m z - 2 = 0 is$