A vector in x-y plane makes an angle of 30° with y-axis. The magnitude of y-component of vector is . The magnitude of x-component of the vector will be [2023]

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Solution

Q.
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 [2023]

1 $\frac{1}{\sqrt{3}}$

2 6

3 $\sqrt{3}$

4 2

Ans.
(4)

$A_{y} = A \cos 30 ° = 2 \sqrt{3}$

$\Rightarrow A \frac{\sqrt{3}}{2} = 2 \sqrt{3}$

$\Rightarrow A = 4$

Now, $A_{x} = A \sin 30 ° = 4 \times \frac{1}{2} = 2$

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