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the angle between the vectors (hati+hatj...

the angle between the vectors `(hati+hatj)` and `(hatj+hatk)` is

A

`45^(@)`

B

`90^(@)`

C

`-45^(@)`

D

`180^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Given `A=hati+hatj`
`B=hati-hatj`
We know that `A.B=|A||B|costheta`
`rArr (hati+hatj).(hati-hatj)=(sqrt(1+1))(sqrt(1-1))cos theta`
Where `theta` is the angle between `A` and `B`
`rArr cos theta=(1-0+0-1)/(sqrt2sqrt2)=0/2=0`
`rArr theta=90^(@)`
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