If a=2hati+hatj-8hatk and b=hati+3hatj-4...

If `a=2hati+hatj-8hatk and b=hati+3hatj-4hatk`, then the magnitude of a+b is equal to

A

13

B

`(13)/(5)`

C

`3/13`

D

`4/13`

Verified by Experts

The correct Answer is:

A

`|a+b|=|3hati+4hatj-12hatk|`
`=|sqrt(3^(2)+4^(2)+(12)^(2))|=13`

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