If $\vec{A} = 2\hat{i} + 3\hat{j}$ and $\vec{B} = \hat{i} - 2\hat{j}$, a vector $\vec{C}$ which is perpendicular to both $\vec{A}$ and $\vec{B}$ and has a magnitude of 5 units can be:

A vector $\vec{A}$ is resolved into two rectangular components $A_x$ and $A_y$. If $A_x = A\cosheta$ and $A_y = A\sinheta$, what does $heta$ represent?

If $\vec{A} = 2\hat{i} + 3\hat{j}$ and $\vec{B} = 4\hat{i} - \hat{j}$, the magnitude of $2\vec{A} - \vec{B}$ is:

Two vectors of magnitudes 5 units and 3 units are added. What is the minimum possible magnitude of their resultant?

Three coplanar vectors $\vec{A}$, $\vec{B}$, and $\vec{C}$ have magnitudes A, B, and C respectively. If $\vec{A} + \vec{B} + \vec{C} = 0$, and the angle between $\vec{A}$ and $\vec{B}$ is $\alpha$, the angle between $\vec{B}$ and $\vec{C}$ is $\beta$, and the angle between $\vec{C}$ and $\vec{A}$ is $\gamma$, which of the following relations must hold true?

If vector A has a magnitude of 4 units and vector B has a magnitude of 3 units and they are acting in opposite directions, what is the magnitude of the resultant vector A - B?

Two vectors of magnitudes 5 units and 3 units respectively are added. Which of the following cannot be the magnitude of the resultant vector?

The plane which can be formed with the vectors $\overrightarrow a = 3\overrightarrow i - 4\overrightarrow j + 2\overrightarrow k$,$\overrightarrow b = 2\overrightarrow i - \overrightarrow j - 6\overrightarrow k ,\overrightarrow c = 5\overrightarrow i - \overrightarrow {5j} - 4\overrightarrow k$ IS

A vector $\vec{A}$ lies in the xy-plane. If $\vec{A}$ makes an angle of 30° with the positive x-axis and has a magnitude of 5 units, its y-component is:

One of the rectangular components of a velocity of $60\,\,km{h^{ - 1\,\,\,}}\,{\rm{is}}\,\,\,30\,\,km{h^{ - 1}}$ .The other rectangular component is

Two forces of magnitudes $F_1$ and $F_2$ act on an object at a point. If the resultant force has magnitude $F_R = \sqrt{F_1^2 + F_2^2}$, what can be concluded about the angle between $F_1$ and $F_2$?