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Let vecb=-veci+4vecj+6veck, vecc=2veci-7...

Let `vecb=-veci+4vecj+6veck, vecc=2veci-7vecj-10veck.` If `veca` be a unit vector and the scalar triple product `[veca vecb vecc]` has the greatest value then `veca` is

A. `(1)/(sqrt(3))(hati+hatj+hatk)`
B. `(1)/(sqrt(5))(sqrt(2)hati-hatj-sqrt(2)hatk)`
C. `(1)/(3)(2hati+2hatj-hatk)`
D. `(1)/(sqrt(59))(3hati-7hatj-hatk)`

A

`1/sqrt3(hati+hatj+hatk)`

B

`1/sqrt5(sqrt2i-hatj-sqrt2k)`

C

`1/3(2hati+2hatj-hatk)`

D

`1/sqrt59(3hati-7hatj-hatk)`

Text Solution

Verified by Experts

The correct Answer is:
C
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