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The angle between A=hat(i)+hat(j) " and ...

The angle between `A=hat(i)+hat(j) " and " B=hat(i)-hat(j)` is

A

`45^(@)`

B

`90^(@)`

C

`-45^(@)`

D

`180^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Given, `A=hat(i)+hat(j)`
`B=hat(i)-hat(j)`
We know that
`A.B=|A||B|cos theta`
`rArr " " (hat(i)+hat(j)).(hat(i)-hat(j))=(sqrt(1+1))(sqrt(1+1)) cos theta`
where `theta` is the angle between A and B
`rArr " " cos theta=(1-0+0-1)/(sqrt(2)sqrt(2))=(0)/(2)=0`
`rArr " " theta=90^(@)`
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Knowledge Check

  • Find the angle between the Vector hat(i)+hat(j) and hat(i)-hat(j) .

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