A vector in x - y plane makes an angle of 30° with y -axis. The magnitude of y -component of vector is 2√(3). The magnitude of x -component of the vector will be: (a) √(3) (b) 2 (c) 6 (d) 1/√(3)

Answer: (b). Angle with y-axis is 30°: Ay = Acos 30°, Ax = Asin 30°. A · √(3)/2 = 2√(3) ⇒ A = 4 Ax = 4 × 1/2 = 2 So the answer is (b) 2.

A vector in x - y plane makes an angle of 30° with y -axis. The… | JEE Main 2023 (15 Apr, Shift 1)

Q13JEE Main 2023 · 15 APR · SHIFT 1Easy

Vector Basics, Unit Vectors & Components

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

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Answer: (b)

Angle with y-axis is $30^\circ$ : $A_y = A\cos30^\circ$ , $A_x = A\sin30^\circ$ .
$A \cdot \frac{\sqrt{3}}{2} = 2\sqrt{3} \Rightarrow A = 4$
$A_x = 4 \times \frac{1}{2} = 2$
So the answer is (b) 2.

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