Question

A vector having magnitude 30 unit makes equal angles with each of X,Y, and Z -axes The components of vector along each of X,Y,and Z -axes are
A. `10sqrt(3) ` unit
B. `20sqrt(3)` unit
C. `15sqrt(3)` unit
D. 10 unit

Answer 1

Correct Answer - A
(a) We have `A_(x)=A_(y)=A_(z)`
Now ,Resultant `A=sqrt(A_(x)^(2)+A_(Y)^(2)+A_(z)^(2))`
`=sqrt(3)A_(x)`
`therefore A_(X)=(A)/(sqrt(3))=(30)/(sqrt(3))=10sqrt(3)`