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Two vectors are given by A=3hati+hatj+3h...

Two vectors are given by `A=3hati+hatj+3hatk and B=3hati+5hatj-2hatk`. Find the third vector C iif `A=C-3B=0`.

A

`12hati+14hatj+12hatk`

B

`13hati+17hatj+12hatk`

C

`12hati+16hatj-3hatk`

D

`15hati+13hatj+4hatk`

Text Solution

Verified by Experts

The correct Answer is:
C
Given `A=3hati+hatj+3hatk`
and `B=3hati+5hatj-2hatk`
According to the given condition in this questions,
`A+3B=C`
`(3hati+hatj+3hatk)+3(3hati+hatj-2hatk)=C`
`impliesC=12hati+16hatj-3hatk`
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