Find the acute angle which the line with direction cosinesn makes with

1.	Find the acute angle which the line with direction cosinesn makes withpositive direction of z-axis.
Answer» Given,l=1/√3 ; m=1/√6; n=?we know thatl^2 + m^2 + n^2 =11/3 + 1/6 + n^2 =1n = 1/√2 or n=-1/√2since we need the angle with positive direction of x axiswe take n=1/√2 we know that cos gamma=n=1/√2gamma = π/4

Find the acute angle which the line with direction cosinesn makes withpositive direction of z-axis.

Answer»

Given,l=1/√3 ; m=1/√6; n=?we know thatl^2 + m^2 + n^2 =11/3 + 1/6 + n^2 =1n = 1/√2 or n=-1/√2since we need the angle with positive direction of x axiswe take n=1/√2

we know that cos gamma=n=1/√2gamma = π/4

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Find the acute angle which the line with direction cosinesn makes withpositive direction of z-axis.

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