A vector in $$x - y$$ plane makes an angle of $$30°$$ with $$y$$-axis. The magnitude of $$y$$-component of vector is $$2\sqrt{3}$$. The magnitude of $$x$$-component of the vector will be :

The vector makes an angle of 30° with the y-axis.

If the angle with y-axis is 30°, then:

$$V_y = V\cos 30° = 2\sqrt{3}$$

$$V = \frac{2\sqrt{3}}{\cos 30°} = \frac{2\sqrt{3}}{\sqrt{3}/2} = 4$$

$$V_x = V\sin 30° = 4 \times \frac{1}{2} = 2$$

The magnitude of the x-component is $$\mathbf{2}$$.

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