The acute angle between the line barr=(...

The acute angle between the line `barr=(3hati-hatj-hatk)+lambda(hati-hatj+hatk)` and
the plane `barr.(3hati-4hatk)=4` is

A

(a) `sin^(-1)((1)/(5sqrt(3)))`

B

(b) `sin^(-1)((-1)/(5sqrt(3)))`

C

(c) `cos^(-1)((1)/(5sqrt(3)))`

D

(d) `cos^(-1)((-1)/(5sqrt(3)))`

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The correct Answer is:

A

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