Question

vector "a" makes equal angles withx,y,z axis.find the value of its components(in terms of magnitude of "a".

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)