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Vectors A→=5i^-aj^+3k^ and B→=10i^+8j^+bk^ are parallel to each other, then values of 'a' and 'b' are -

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Question

Vectors `vecA = 5hati - ahatj + 3hatk` and `vecB = 10hati + 8hatj + bhatk` are parallel to each other, then values of 'a' and 'b' are

Options

  • 4, 6

  • 4, – 6

  • – 4, 6

  • – 4, – 6

MCQ

Solution

– 4, 6

Explanation:

`vecA` and `vecB` are parallel to each other. This implies `vecA = mvecB`.

`10/5 = 8/(-a) = b/3`

∴ a = – 4, b = 6

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