If the vectors 3p+q;5p-3q and 2p+q;4p-2p are pairs of mutually perpendicular vectors then sin(p^q) is [here i have written p and q for p bar and q bar,those are vectors,sorry for inconvience]

(A)√55/4 (B)√55/8 (C)3/16 (D)√247/16

sin(p^q) means sin of angle b/w p and q

please give detailed solution please help

Dear Suchita,

(3p+q)x(5p-3q) = -9pxq+5qxp = 0 thus p x q = 0

Thus solve this equation to get angle between the two.

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by mistake i have written 2p+q;4p-2p it should be 4p-2q so sorry