First slide

Planes in 3D

Question

If the planes $x + 2 y + k z = 0$ and 2x+y-2z+3=0 are at right angles, then the values of k is

Moderate

Solution

Use $a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0$
2+2-2k=0

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