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The projections of a line segment PQ on the x, y and z axes are 12,4,3 , respectively. Find | PQ| and the direction cosines of the line PQ


3 years ago

Ritesh Khatri
76 Points
							Formula for length of a segment is|PQ| = $\sqrt{x^{2}+y^{2}+z^{2}}$=$\sqrt{12^{2}+4^{2}+3^{2}}$=13Direction cosines, Below are formula for direction cosines $l = \frac{x}{\sqrt{x^{2}+y^{2}+z^{2}}}$=12/13$m = \frac{y}{\sqrt{x^{2}+y^{2}+z^{2}}}$=4/13$n = \frac{z}{\sqrt{x^{2}+y^{2}+z^{2}}}$=3/13

3 years ago
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• 101 Video Lectures
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• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions