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NDA2023MathematicsThree Dimensional GeometryActual

What is the angle between the lines 2 x=3 y=-z and 6 x=-y=-4 z ?

Options

  1. A0^
  2. B30^
  3. C60^
  4. D90^

Correct answer

D. 90^

Step-by-step solution

Given the lines aligned & 2 x=3 y=-z and 6 x=-y=-4 z & x 3 = y 2 = 2 -6 and x 2 = y -12 = 2 -3 aligned So, angle between lines is given by. aligned & =|3.2+2(-12)+(-6) (-3)| & =0 = 2 =90^ aligned

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