A vector x, where added to two vectors v...

A vector x, where added to two vectors `vecA=3hati-5hatj+7hatk and vecB=2hati+4hatj-3hatk` gives a unit vector along axis. The vector x is

A

`-5hati+2hatj-4hatk`

B

`5hati+2hatj-4hatk`

C

`-5hati-2hatj+4hatk`

D

`5hati-2hatj-4hatk`

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The correct Answer is:

A

`vecA+vecB=5hati-hatj+4hatk, " " vecA+vecB+vecx=vecj " " :. vecx=-5hati+2hatj-4hatk`

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