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The magnitude of the resultant of two equal vectors, each of magnitude K units a...


Question

The magnitude of the resultant of two equal vectors, each of magnitude K units and acting at right angle to each other is....

Options

A) \(K\)

B) \(K\)

C) \(K\sqrt{2}\)

D) \(2K\)

The correct answer is C.

Explanation:

By Pythagoras theorem:
\(R^2 = K^2 + K^2\)
\(R^2 = 2K^2\)
\(R = \sqrt{2K^2}\)
\(R = \sqrt{2} \times \sqrt{K^2}\)
\(R = \sqrt{2} \times K = K\sqrt{2}\)

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