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Given vec(A)=0.3hati+0.4hatj+chatk calcu...

Given `vec(A)=0.3hati+0.4hatj+chatk` calculate the value of c if A is a unit vector.

A

`0.866`

B

`0.166`

C

`0.18`

D

`0.0866`

Text Solution

Verified by Experts

The correct Answer is:
A
If `vec(A)` is unit vector then its magnitude must be unity.
`rArrsqrt(a_(x)^(2)+a_(y)^(2)+a_(z)^(2))=1`
i.e., `sqrt((0.3)^(2)+(0.4)^(2)+c^(2))=1`
or `0.09+0.16+c^(2)=1`
or `c^(2)=1-0.25=0.75`
or `c=0.87`.
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