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Manipal MET2017MathematicsThree Dimensional Geometry

If , , are the angles which a half ray makes with the positive direction of the axes, then ^2 + ^2 + ^2 is equal to

Options

  1. A1
  2. B2
  3. C0
  4. D-1

Correct answer

B. 2

Step-by-step solution

Since, a ray makes angles , , with the positive direction of the axes. ^2 + ^2 + ^2 =1 1- ^2 +1- ^2 +1- ^2 =1 ^2 + ^2 + ^2 =2

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