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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2014 · Mathematics · Three Dimensional Geometry

Paragraph : Let a vector r make angles 60^ ^ , 30^ ^ with x and y...

Paragraph : Let a vector rˉ\bar{r} make angles 60∘60^{{}^{\circ}}, 30∘30^{{}^{\circ}} with xx and yy-axis respectively.
Question : What are the direction cosines of r⃗\vec{r} ?

Options

  1. A⟨12,32,0⟩\left\langle\frac{1}{2}, \frac{\sqrt{3}}{2}, 0\right\rangle
  2. B⟨12,−32,0⟩\left\langle\frac{1}{2},-\frac{\sqrt{3}}{2}, 0\right\rangle
  3. C⟨12,−12,0⟩\left\langle\frac{1}{\sqrt{2}},-\frac{1}{\sqrt{2}}, 0\right\rangle
  4. D⟨−12,32,0⟩\left\langle-\frac{1}{2}, \frac{\sqrt{3}}{2}, 0\right\rangle

Correct answer

A. ⟨12,32,0⟩\left\langle\frac{1}{2}, \frac{\sqrt{3}}{2}, 0\right\rangle

Step-by-step solution

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