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In the parallelogram law derivation, which component of vector Q gives the perpendicular distance DC?

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Question

In the parallelogram law derivation, which component of vector Q gives the perpendicular distance DC?

Options

  • Q cos θ

  • Q tan θ

  • Q sin θ

  • Q / sin θ

MCQ
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Solution

Q sin θ

Explanation:

The perpendicular component DC = AC sin θ = Q sin θ, since AC represents the magnitude of vector Q.

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