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What is the angle between hati+hatj and ...

What is the angle between `hati+hatj and hati` ?

A

`15^(@)`

B

`30^(@)`

C

`45^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
The angle between two vectors `vec A and vec B` is calculated by using,
`cos theta =(vec A cdot vec B)/(AB) hati, hatj and hatk` are unit vectors
`therefore cos theta =((hati+hatj) cdot hati)/(sqrt(1^(2)+1^(2))sqrt1^(2))`
`therefore cos theta =(1)/(sqrt(2)xx sqrt(1))=(1)/(sqrt(2))`
`therefore theta =45^(@)`
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