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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2019 · Mathematics · Three Dimensional Geometry

What are the direction cosines of z -axis?

What are the direction cosines of z -axis?

Options

  1. A⟨1,1,1⟩\langle 1,1,1\rangle
  2. B⟨1,0,0⟩\langle 1,0,0\rangle
  3. C⟨0,1,0⟩\langle 0,1,0\rangle
  4. D⟨0,0,1⟩\langle 0,0,1\rangle

Correct answer

D. ⟨0,0,1⟩\langle 0,0,1\rangle

Step-by-step solution

Z makes an angle 90° with the x-axis 90° with the y-axis at 0° with the z-axis. Therefore; α is equal to 90 degree, β is equal to 90 degree and γ is equal to 0 degrees. Therefore l is equal to 0, m is equal to 0 and n is equal to 1 and the direction cosine of the z-axis is 0,0,1
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