NDA 2019 Mathematics question
A straight line passes through the point makes an angle with the positive direction of z-axis, and the cosine of the angles made by it with the positive directions of the y-axis and the x-axis are in the ratio . What is the acute angle between the two possible positions of the line?
Answer: (B)
Solution
Let the direction cosines be with and . Then , . The two positions are \dfrac{\sqrt3}{4}$,
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