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Manipal MET2019MathematicsThree Dimensional Geometry

If a line makes , , with the positive direction of x, y and z -axes respectively. Then, ^2 + ^2 + ^2 is equal to

Options

  1. A1 2
  2. B- 1 2
  3. C-1
  4. D1

Correct answer

D. 1

Step-by-step solution

Let , , be the angles which the line makes with the positive directions at the axes of x, y and z respectively, then , and are called the direction cosines of the line and these are usually denoted by gathered l= , m= , n= ^2 + ^2 + ^2 =l^2+m^2+n^2=1 gathered

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