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Vectors 3veca-5vecb and 2veca + vecb are...

Vectors `3veca-5vecb and 2veca + vecb` are mutually perpendicular. If `veca + 4 vecb and vecb - veca` are also mutually perpendicular, then the cosine of the angle between `veca nad vecb` is

A

`cos^(-1)((19)/(5sqrt(43)))`

B

`pi-cos^(-1)((19)/(5sqrt(43)))`

C

`cos^(-1)((9)/(5sqrt(43)))`

D

`pi-cos^(-1)((9)/(5sqrt(43)))`

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The correct Answer is:
A
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