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A displacement vector, at an angle of 30° with y-axis has an x-component of 10 units. Then the magnitude of the vector is ______. -

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Question

A displacement vector, at an angle of 30° with y-axis has an x-component of 10 units. Then the magnitude of the vector is ______.

Options

  • 5.0

  • 10

  • 11.5

  • 20

MCQ
Fill in the Blanks

Solution

A displacement vector, at an angle of 30° with y-axis has an x-component of 10 units. Then the magnitude of the vector is 20.

Explanation:

Let `vecR` be the given vector. X-component of the vector `vecR`.

= `|vecR| cos60^circ = 10`

`|vecR| = 10/(cos60^circ) = 20`

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