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Vectors `3 vec a-5 vec b` and `2 vec a+ vec b` are mutually perpendicular. If `vec a+4 vec b` and `vec b- vec a` are also mutually perpendicular, then the cosine of the angle between `a and b` is a.`(19)/(5sqrt(43))` b. `(19)/(3sqrt(43))` c. `(19)/(2sqrt(45))` d. `(19)/(6sqrt(43))`

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