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AP EAMCET202318 May 2023Evening ShiftMathematicsThree Dimensional GeometryActual

If a line L makes angles 3 and 4 with the positive X -axis and positive Y -axis respectively, then the angle made by L with the positive direction of Z -axis is

Options

  1. A2
  2. B3
  3. C4
  4. D5 12

Correct answer

B. 3

Step-by-step solution

Given = 3 , = 4 Also, we have aligned & ^2 + ^2 + ^2 =1 & ^2 3 + ^2 4 + ^2 =1 & 1 4 + 1 2 + ^2 =1 & = 1 2 aligned For positive direction of z -axis = 1 2 = 3

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