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If vector vec b=(t a nalpha,-12sqrt(sin...

If vector ` vec b=(t a nalpha,-12sqrt(sinalpha//2))a n d vec c=(t a nalpha, t a nalpha-3/(sqrt(sinalpha//2)))` are orthogonal and vector ` vec a=(13,sin2alpha)` makes an obtuse angle with the z-axis, then the value of `alpha` is `alpha=(4n+1)pi+tan^(-1)2` b. `alpha=(4n+1)pi-tan^(-1)2` c. `alpha=(4n+2)pi+tan^(-1)2` d. `alpha=(4n+2)pi-tan^(-1)2`

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