NEET Chemistry Structure Of Atom Parallelogram Law Of Vectors MCQs

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:

Three coplanar forces $\vec{F_1}$, $\vec{F_2}$, and $\vec{F_3}$ act on a point object such that the object is in equilibrium. If $|\vec{F_1}| = 10$ N, $|\vec{F_2}| = 15$ N and the angle between $\vec{F_1}$ and $\vec{F_2}$ is 60°, then the magnitude of $\vec{F_3}$ is closest to:

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 $\vec{B}$?

A particle is subjected to three concurrent forces represented by the vectors $\vec{F_1} = 2\hat{i} - \hat{j}$, $\vec{F_2} = \hat{i} + 2\hat{j} - 3\hat{k}$, and $\vec{F_3} = -2\hat{i} + \hat{j} + \hat{k}$. If an additional force $\vec{F_4}$ is required to keep the particle in equilibrium, what is the magnitude of the projection of $\vec{F_4}$ on the vector $\hat{i} - \hat{j} + \hat{k}$?

Two forces, $\vec{P}$ and $\vec{Q}$, act at a point. If the magnitude of their resultant is equal to the magnitude of $\vec{P}$ and perpendicular to $\vec{P}$, and the magnitude of $\vec{Q}$ is $Q$, what is the magnitude of $\vec{P}$?

Two forces of magnitudes 5 N and 7 N act on a particle at an angle of 60 degrees. According to the parallelogram law, what is the magnitude of the resultant force?

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

Two forces represented by vectors 3i + 4j and 5i - 2j act on a particle. What is the magnitude of the resultant force?

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

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?