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Question

Mathematics Question on Vector Algebra

Let a=3ı^+ȷ^2k^\vec a =3î + ĵ -2k̂, b=4ı^+ȷ^+7k^\vec b =4 î + ĵ +7 k̂ and c=ı^3ȷ^+4k^\vec c =î -3 ĵ +4 k̂ be 3 vectors. If a vector p\vec p satisfies pxb=cxb\vec p_x \vec b=\vec c_x\vec b and pxa=0\vec p_x\vec a = 0 then p.(ı^ȷ^k^)\vec p.( î - ĵ - k̂ ) is equal to

A

32

B

23

C

16

D

61

Answer

32

Explanation

Solution

The correct option is (A): 32