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Give vectors x=3hati-6hatj-hatk, y=hati+...

Give vectors `x=3hati-6hatj-hatk, y=hati+4hatj-3hatk` and `x=3hati-4hatj-12hatk`, then the projection of x`xx`y on vector z is

A

14

B

`-14`

C

`12`

D

15

Text Solution

Verified by Experts

The correct Answer is:
B
The projection of `x xxy` or z is given by
`(x xxy*z)/(|z|)=(1)/(|z|)[x,y,z]`
`=(1)/(13)|(3,-6,-1),(1,4,-3),(3,-4,-12)|=-14`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 05-Paper 2 (Mathematics)
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