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Let ` vec u , vec va n d vec w` be such that `| vec u|=1,| vec v|=2a n d| vec w|=3.` If the projection of ` vec v` along ` vec u` is equal to that of ` vec w` along ` vec u` and vectors ` vec va n d vec w` are perpendicular to each other, then `| vec u- vec v+ vec w|` equals `2` b. `sqrt(7)` c. `sqrt(14)` d. `14`

A

2

B

`sqrt(7)`

C

`sqrt(14)`

D

14

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The correct Answer is:
C
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