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If vecA= 3hati+2hatj and vecB= 2hati+ 3h...

If `vecA= 3hati+2hatj and vecB= 2hati+ 3hatj-hatk`, then find a unit vector along `(vecA-vecB)`.

A

`(hati-hatj+hatk)/(sqrt3) `

B

`(hati-hatj+hatk)/(sqrt5) `

C

`(hati+hatj+hatk)/(sqrt3) `

D

`(hati-hatj-hatk)/(sqrt3) `

Text Solution

Verified by Experts

The correct Answer is:
A
Unit vector along `(vecA- vecB) = (vecA-vecB)/(|vecA- vecB|) `
`" "=((3hati+2hatj)-(2hati+3hatj-hatk))/(|(3hati+2hatj)-(2hati+3hatj-hatk)|) = (hati-hatj+hatk)/(sqrt3)`
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