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COMEDK2024Morning ShiftMathematicsThree Dimensional GeometryActual

The vector ( r ) whose magnitude is 3 2 units which makes an angle of 4 and 2 with y and z - axis respectively is

Options

  1. A-
  2. B3
  3. C3 +3

Correct answer

3

Step-by-step solution

Direction cosines: m = 4 = 1 2 , n = 2 = 0 Using l^2 + m^2 + n^2 = 1 : l^2 + 1 2 + 0 = 1 l = 1 2 r = | r |(l i + m j + n k ) = 3 2 ( 1 2 i + 1 2 j + 0 k ) = 3 i + 3 j

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