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Let vector PR = 3i + j - 2k and SD = i - 3j - 4k determine diagonals of a parallelogram PQRS and PT = i + 2j + 3k  be another vector. Then, the volume of the parallelepiped determined by the vectors PT, PQ is

(A) 5 

(B) 20 

(C) 10 

(D) 30 

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Best answer

Answer is (C) 10

See Fig.

Let  vector a and  vector b be the sides of the parallelogram whose diagonals be  vector PR  and  vector SQ, as shown in the following figure. Therefore,

Therefore, the volume of the parallelepiped formed by vector a, b and PT is

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