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Let vec a = 2hat i-hat j+hat k,vec b=ha...

Let `vec a = 2hat i-hat j+hat k,vec b=hat i+ 2hat j-hat k and vec c=hat i+hat j- 2hat k` be three vectors. A vectors of the type `vec b+lambda vec c` for some scalar `lambda`, whose projection on `vec a` is of magnitude `sqrt(2/3)`, is:

A

`2i+j+5k`

B

`2i+3j-3k`

C

`2i-j+5k`

D

`2i+3j+5k`

Text Solution

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The correct Answer is:
B
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