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Question: Answered & Verified by Expert
Let a, b and c be three non-zero non-coplanar vectors and p, q and r be three vectors defined as p=a+b2c; q=3a-2b+c and r=a-4b+2c

If the volume of parallelepiped determined by a, b and c is V1 and that of the parallelepiped determined by p, q and r is V2 then, V2=KV1 implies that the value of K is

MathematicsThree Dimensional GeometryJEE Main
Solution:
2731 Upvotes Verified Answer
The correct answer is: 15

Given, [abc]=V1

[pqr]=|11232+1142|[abc]=[1(4+4)1(61)2(12+2)]V1

V2=(5+20)V1=15V1 K=15

 

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