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A line AB in three-dimensional space makes angles 45° and 120° with the positive x-axis and the positive y-axis respectively. If AB makes an acute angle e with the positive z-axis, then e equals ?

Vicki Sharma , 12 Years ago
Grade 12
anser 2 Answers
Saurabh Koranglekar
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Last Activity: 5 Years ago
Vikas TU
The angle made by line AB with x axis is 45
The angle made by line AB with y axis is 120 
Let the angle made by line AB with z axis is θ
We have cos^2(45)+cos^2(120)+cos^2θ=1
CosQ = 1/2 
Q = 60 
Last Activity: 5 Years ago
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