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With respect to a rectangular cartesian ...

With respect to a rectangular cartesian coordinate system, three vectors are expressed as `veca=4hati-hatj,vecb=-3hati+2hatj" and "vecc=-hatk` where `hati,hatj,hatk` are unit vectors of axis x,y and z then `hatr` along the direction of sum of these vector is :-

A

`hatr=(1)/(sqrt(3))(hati-hatj-hatk)`

B

`hatr=(1)/(sqrt(2))(hati+hatj-hatk)`

C

`hatr=(1)/(3)(hati-hatj+hatk)`

D

`hatr=(1)/(sqrt(2))(hati+hatj+hatk)`

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The correct Answer is:
A
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