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A vector having magnitude 30 unit makes ...

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

Text Solution

Verified by Experts

The correct Answer is:
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)`
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