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The angle between vecA = hati + hatj and...

The angle between `vecA = hati + hatj and vecB = hati - hatj` is

A

`45^(@)`

B

`90^(@)`

C

`-45^(@)`

D

`180^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B

(b): We know that
`vecAvecB=AB cos theta`
`therefore cos theta (vecAvecB)/(AB)=(hati+hatj).((hati-hatj))/(sqrt(1^(2)+1^(2))sqrt(1^(2)+1^(2))`
`=(1-1)/(sqrt2sqrt2)=0`
or `theta =90^(@)`
The correct option is (b).
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Knowledge Check

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