Two vectors $\vec{A}$ and $\vec{B}$ have magnitudes A and B respectively. If the magnitude of their resultant vector is $\sqrt{A^2 + B^2 + \sqrt{3}AB}$, which of the following is the most accurate measure of the angle between $\vec{A}$ and $\vec{B}$?

The sum of magnitude of two forces acting at a point is $16N$ and their resultant $8\sqrt 3 \,\,N$ is at ${90^0}$ with the force of smaller magnitude. The two forces $\left( {in\,\,N} \right)$ are

Two forces of 6 N and 8 N act at a point at right angles to each other. What is the magnitude of their resultant force?

The resultant of two forces 3P and 2P is R. If the first force is doubled them the resultant is also doubled. The angle between the two forces is

If the magnitude of the resultant of two vectors of equal magnitude is equal to the magnitude of either vector, what is the angle between the two vectors?

The parallelogram law of vector addition is equivalent to which other method of vector addition?

If $\overrightarrow A = 4\widehat i - 3\widehat j\,\,and\,\overrightarrow B = 6\widehat i - 8\widehat j$ then the magnitude and direction of $\overrightarrow A \, + \,\overrightarrow B$ will be

If two vectors of equal magnitude act at an angle of 120 degrees to each other, what is the magnitude of their resultant?

If the sum of two unit vectors is a unit vector, then magnitude of difference is

The forces are such that the sum of their magnitude is 18 N and their resultant is perpendicular to the smaller force and magnitude of resultant is 12 N. Then the magnitudes of the forces are

Two forces $\vec{F_1}$ and $\vec{F_2}$ act on a particle. $\vec{F_1}$ has a magnitude of 10 N and acts along the positive x-axis. $\vec{F_2}$ has a magnitude of 5 N and acts at an angle of 120° with respect to the positive x-axis. If the resultant force $\vec{R}$ makes an angle $heta$ with $\vec{F_1}$, then $an(heta)$ is: