The figure shows the orientation of two vectors $u$ and $v$ in the XY plane.
If $u=a\hat{i}+b\hat{j}$ and $v=p\hat{i}+q\hat{j}$.

      
Which of the following is correct?

The component of a vector $\vec{r}$ along the X-axis will have maximum value if:

Consider the quantities of pressure, power, energy, impulse, gravitational potential, electric charge, temperature, and area. Out of these, the only vector quantities are:

The incorrect statement/s is/are:
1. (b), (d)
2. (a), (c)
3. (b), (c), (d)
4. (a), (b)

It is found that $|\vec{A}+\vec{B}|=|\vec{A}|$. This necessarily implies:

Given below in Column-I are the relations between vectors $a,$ $b,$ and $c$ and in Column-II are the orientations of $a,$ $b,$ and $c$ in the XY-plane. Match the relation in Column-I to the correct orientations in Column-II.
 

	Column-I		Column-II
a	$a + b = c$	(i)
b	$a- c = b$	(ii)
c	$b - a = c$	(iii)
d	$a + b + c = 0$	(iv)

If $|\vec{A}|=2$ and $|\vec{B}|=4$, then match the relations in Column I with the angle $\theta$ between $\vec{A}$ and $\vec{B}$ in Column II.

Choose the correct answer from the options given below:

If $\left| \vec{A}\right|$ = $2$ and $\left| \vec{B}\right|$ = $4,$ then match the relations in column-I with the angle $\theta$ between $\vec{A}$ and $\vec{B}$ in column-II.     

For two vectors $\vec A$ and $\vec B$, |$\vec A$+$\vec B$|=|$\vec A$ - $\vec B$| is always true when: