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The planes p x+2 y+2 z-3=0 and 2 x-y+z+2=0 intersect at an angle / 4 . What is the value of p^2 ?

Options

  1. A24
  2. B12
  3. C6
  4. D3

Correct answer

A. 24

Step-by-step solution

aligned & / 4= 2 p-2+2 p^2+4+4 4+1+1 & 1 2 = 2 p p^2+8 6 & or 1 2 = 4 p^2 6 p^2+48 & or 6 p^2+48=8 p^2 & or p^2=24 aligned

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