If a line makes angles 120 o and 60 o with the positive directions of X and Z axes respectively then the angle made by the line with positive Y - axis is

Question

If a line makes angles 120 o and 60 o with the positive directions of X and Z axes respectively then the angle made by the line with positive Y - axis is, 150 o, 60 o, 135 o, 120 o

MARKS App · Accepted Answer

cos 2 β = 1 − cos 2 α − cos 2 γ = 1 − cos 2 ( 120 o ) − cos 2 ( 60 o ) = 1 − 1 4 − 1 4 = 1 − 1 2 cos β = ± 1 2 β = 135 o , 45 o

Search any question & find its solution

Looking for more such questions to practice?