A line A B in three dimensions makes angles 45^ and 120^ with the positive X -axis and the positive Y -axis respectively. If A B makes an acute angle with the positive Z -axis, then equals

Step-by-step solution

Here, line A B in three dimensions makes an angle 45^ and 120^ with positive X -axis and Y -axis respectively and acuts angle with positive Z -axis. ^2 45^ + ^2 120^ + ^2 =1 ( 1 2 )^2+ ( 1 2 )^2+ ^2 =1 ^2 =1- ( 1 2 + 1 4 ) ^2 =1 / 4 =1 / 2 =60^