A vector in xy - plane has a magnitude of $25m$ and magnitude of x - component is $20m$. The angle it makes with the positive x - axis is

Q. A vector in xy - plane has a magnitude of $25m$ and magnitude of x - component is $20m$. The angle it makes with the positive x - axis is

Q.

Vector A has magnitude of 3 units and makes an angle of ${30}^{\circ }$ with the positive x-axis.

Vector B has magnitude of 4 units and makes an angle of ${120}^{\circ }$ with the positive x-axis.

Find the magnitude of the resultant and the angle that it makes with the positive x-axis.

$\left[ta{n}^{-1}\right(\frac{4}{3})={53}^{\circ }]$

Q. 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

Q.

Vector A has a magnitude of 2 units and makes an angle of $0^{\circ }$ with the positive x- axis, Vector B has a magnitude of 6 units and makes an angle of ${30}^{\circ }$
(clock-wise) with the positive y- axis. Find the magnitude of the resultant of Vector A& B and also the angle that it makes with Vector A.

Q. 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