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The volume of a parallelopiped whose edges are -12i+αk, 3j-k and 2i+j-15k is 546, then the value of α is
  • a)
    3
  • b)
    2
  • c)
    -3
  • d)
    -2
Correct answer is option 'C'. Can you explain this answer?
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The volume of a parallelopiped whose edges are -12i+αk, 3j-k and...
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The volume of a parallelopiped whose edges are -12i+αk, 3j-k and...
To find the volume of a parallelepiped, we need to find the product of the lengths of its three edges that are not coplanar.

Let's assume the edges of the parallelepiped are given by vectors a, b, and c.

Given that one edge is -12i, this means that a = -12i.

To find the other two edges, we need more information or vectors.

Please provide the vectors for the other two edges, and we can continue from there.
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The volume of a parallelopiped whose edges are -12i+αk, 3j-k and 2i+j-15k is 546, then the value of α isa)3b)2c)-3d)-2Correct answer is option 'C'. Can you explain this answer?
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