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The angle between the two vectors A=3 ha...

The angle between the two vectors `A=3 hati+4hatj+5hatk` and `B=3hati+4hatj-5hatk` is

A

`90^@`

B

`0^@`

C

`60^@`

D

`45^@`

Text Solution

Verified by Experts

The correct Answer is:
A
`costheta=(vecA.vecB)/(|A||B|)=((3hati+4hatj+5hatk)(3hati+4hatj-5hatk))/(sqrt(9+16+25)sqrt(9+16+25))`
`=(9+16-25)/(50)=0`
`impliescostheta=0`, `becausetheta=90^@`
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