Question

A vector has a magnitude $12$. When its tail is at origin, it lies between the positive x - axis and the negative y - axis and makes an angle ${30}^{\circ }$ with the x- axis. It’s y - component is

• A. $\frac{6}{\sqrt{3}}\hat{j}$
• B. $-\frac{6}{\sqrt{3}}\hat{j}$
• C. $6\hat{j}$
• D. $-6\hat{j}$

Answer 1

The correct option is D $-6\hat{j}$

From the diagram, component of the vector of magnitude $12$ in y - direction is $-6\hat{j}$