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

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

A

`60^(@)`

B

`90^(@)`

C

`180^(@)`

D

`0^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`cos theta =(0+ 1 + 0)/(sqrt(2)sqrt(2)) = (1)/(2)`
`theta= cos ^(-1).(1)/(2)`
`theta= (pi)/(3)`
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Assertion: The angle between the two vectors (hati+hatj) and (hatj_hatk) is (pi)/(3) radian. Reason: Angle between two vectors vecA and vecB is given by theta=cos^(-1)((vecA.vecB)/(AB))

Assertion : The angle between the two vectors (hati + hatj) and (hatj + hatk) is (pi)/(3) radian. Reason : Angle between two vectors vecA and vecB is given by theta = cos^(-1)((vecA*vecB)/( AB))

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