The three vectors $\vec{A}=3 \hat{i}-2 \hat{j}+\hat{k}$,$\vec{B}=\hat{i}-3 \hat{j}+5 \hat{k}$ and $\vec{C}=2 \hat{i}-\hat{j}+4 \hat{k}$ will form

Which of the following is not true? Given $\overrightarrow A = 3\hat i + 4\hat j$ and $\overrightarrow B = 6\hat i + 8\hat j$,where $A$ and $B$ are the magnitudes of $\overrightarrow A$ and $\overrightarrow B$.

The maximum and minimum magnitude of the resultant of two given vectors are $17$ units and $7$ units respectively. If these two vectors are at right angles to each other,the magnitude of their resultant is

If $P = Q = R$ and $\vec{P} + \vec{Q} = \vec{R}$,let $\theta_1$ be the angle between $\vec{P}$ and $\vec{R}$. If $\vec{P} + \vec{Q} + \vec{R} = \vec{0}$,let $\theta_2$ be the angle between $\vec{P}$ and $\vec{R}$. What is the relationship between $\theta_1$ and $\theta_2$?

The resultant of two vectors $A$ and $B$ is perpendicular to the vector $A$ and its magnitude is equal to half the magnitude of vector $B$. The angle between $A$ and $B$ is ....... $^o$

Two vectors $A$ and $B$ have equal magnitude $x$. The angle between them is $60^{\circ}$. Match the following two columns:

Column $I$	Column $II$
$(A) |A+B|$	$(p) \frac{\sqrt{3}}{2} x^2$
$(B) |A-B|$	$(q) x$
$(C) A \cdot B$	$(r) \sqrt{3} x$
$(D) |A \times B|$	$(s) \frac{x^2}{2}$