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If the vector a=3 hat(j)+4 hat(k) is the...

If the vector `a=3 hat(j)+4 hat(k)` is the sum of two vectors `a_(1)` and `a_(2)`, vector `a_(1)` is parallel to `b=hat(i)+hat(j)` and vector `a_(2)` is perpendicular to b, then `a_(1)=`

A

`1/2 (hat(i)+hat(j))`

B

`1/3 (hat(i)+hat(j))`

C

`2/3 (hat(i)+hat(j))`

D

`3/2 (hat(i)+hat(j))`

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The correct Answer is:
D
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