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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) $$2K$$

### Explanation:

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

## Dicussion (1)

• By Pythagoras theorem:
$$R^2 = K^2 + K^2$$
$$R^2 = 2K^2$$
$$R = \sqrt{2K^2}$$
$$R = \sqrt{2} \times \sqrt{K^2}$$
$$R = \sqrt{2} \times K = K\sqrt{2}$$