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Matching-List & Matching-Matrix Type Jai Baba Ki9

9. Match the following two lists:

List-I List-II

~
(P) Volume of parallelepiped determined by vectors ~a, b and ~c (1) 100
is 2. Then, the volume of the parallelepiped determined by
~
~
vectors 2(~a × b), 3(b × ~c) and (~c × ~a) is
~
(Q) Volume of parallelepiped determined by vectors ~a, b and ~c (2) 30
is 5. Then, the volume of the parallelepiped determined by
~
~
vectors 3(~a + b), (b + ~c) and 2(~c + ~a) is

(R) Area of a triangle with adjacent sides determined by (3) 24
~
vectors ~a and b is 20. Then, the area of the triangle with
~
~
adjacent sides determined by vectors (2~a + 3b) and (~a − b)
is

(S) Area of a parallelogram with adjacent sides determined by (4) 60
~
vectors ~a and b is 30. Then, the area of the parallelogram
~
with adjacent sides determined by vectors (~a + b) and ~a is

(P) (Q) (R) (S)

(A) (4) (2) (3) (1)
(B) (2) (3) (1) (4)

(C) (3) (4) (1) (2)

(D) (1) (4) (3) (2)

[JEE 2013]