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Given vec(A)=2 hat(i) - hat(j) + 2 hat(k...

Given `vec(A)=2 hat(i) - hat(j) + 2 hat(k)`. The unit vector of `vec(A) - vec(B)` is:

A

`vec(k)/sqrt(10)`

B

`(3hat(i))/sqrt(10)`

C

`(3hat(i) + hat(j))/sqrt(10)`

D

`(-3hat(i) + hat(k))/sqrt(10)`

Text Solution

Verified by Experts

The correct Answer is:
C
`vec(A)-vec(B)=(2hati -hatj+2hatk)-(-hati-2hatj+2hatk)`
`=3hati + hatj`
`hat(n)=(vec(A) - vec(B))/(|vec(A)-vec(B)|)=(3hati + hatj)/sqrt(9+1)=(3hati + hatj)/sqrt(10)`
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MODERN PUBLICATION-DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION-Revision TEST
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