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The planes 5x + y + 3z + 1 = 0 and x + y – kz + 6 = 0 are orthogonal, find k.

The planes 5x + y + 3z + 1 = 0 and x + y – kz + 6 = 0 are orthogonal, find k. Correct Answer 2

Relation between the planes a1x + b1y + c1z + d1 = 0 and a2x + b2y + c21z + d2 = 0, if their normal are perpendicular to each other is a1a2 + b1b2 + c1c2 = 0. 5(1) + 1(1) + 3(-k) = 0 -3k = -6 K = 2

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