Question

Vector a makes equal angles with x y z Axis value of its components in terms of magnitude of a will be what

Answer 1

let vector a make ¢ angle with x , y ,z axes .
according to direction cosine ,
cos^2¢ +cos^2¢ +cos^2¢ =1
3cos^2¢ =1
take square root both side 
√3cos¢ = +_ 1

so, ¢ =cos^-1(+_1/√3) = cos^-(1/√3)

now , 
x -component = cos^-1(1/√3)
y -component =cos^-1(1/√3)
z -component =cos^-1(1/√3)