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JEE Advanced · Mathematics · 30. Vector Algebra

Match List-I with List - II and select the correct answer using the code given below the lists 
 
  List-I   List-II
A. Volume of parallelepiped determined by vectors  a,b and c is 2. Then the volume of the parallelepiped determined by vectors
2a×b,3b×c and c×a is
P. 100
B. Volume of parallel piped determined by vectors  a,b and c is 5. Then the volume of the parallelepiped determined by vectors 3a+b,b+c and 2c+a is Q. 30
C Area of a triangle with adjacent sides determined by vectors a and b is 20.Then the area of the triangle with adjacent sides determined by vectors 2a+3b and a-b  is R. 24
D Area of a parallelogram with adjacent sides determined by vectors a and b is 30. Then the area of the parallelogram with adjacent sides determined by vectors a+b and a is S. 60

  1. A a-s;b-q;c-r;d-p;
  2. B a-r;b-p;c-s;d-q;
  3. C a-r;b-s;c-q;d-p;
  4. D a-r;b-s;c-p;d-q;
Verified Solution

Answer & Solution

Correct Answer

(D) a-r;b-s;c-p;d-q;

Step-by-step Solution

Detailed explanation

(A)   Given, abc=2     ...1  The volume of the parallelepiped determined by vectors
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