Question
Download Solution PDFIf a line makes an angle of 60°, 135°, 120° with the positive x, y, z-axis, respectively, then find the direction cosines.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If a line makes an angle of α, β, and γ with the positive x, y, and z-axis, respectively, then the direction cosines of the line are cos α, cos β, cos γ.
Calculation:
Given, a line makes an angle of 60°, 135°, 120° with the positive x, y, z-axis, respectively,
⇒ The direction cosines of the line are (l, m, n) = (cos 60°, cos 135°, cos 120°)
⇒ \(\rm l=\frac{1}{2},m=-\frac{1}{\sqrt2}, n=-\frac{1}{2}\)
∴ The correct option is (1).
Last updated on Jun 19, 2025
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