Q. 20

A line makes angles 90o, 135o and 45o with the positive directions of x-axis, y-axis and z-axis respectively. what are the direction cosines of the line?

Answer :

Given : A line makes angles 90o, 135o and 45o with the positive directions of x-axis, y-axis and z-axis respectively.


To find : Direction cosines of the line


Formula used : If a line makes angles αo, βo and γo with the positive directions of x-axis, y-axis and z-axis respectively. then direction cosines are given by , ,


α = 90o, β = 135o and γ = 45o


Direction cosines of the line is


, ,


, ,


0, ,


Direction cosines of the line is 0, ,


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