If $r_1=2 \hat{x}$ and $r_2=2 \hat{y}$,where $\hat{x}$ and $\hat{y}$ are unit vectors along the $X$-axis and $Y$-axis respectively,then the magnitude of $r_1+r_2$ is

The magnitude of the $X$ and $Y$ components of $\vec{A}$ are $7$ and $6$ respectively. Also,the magnitude of the $X$ and $Y$ components of $\vec{A} + \vec{B}$ are $11$ and $9$ respectively. What is the magnitude of $\vec{B}$?

Match List-$I$ with List-$II$.

The unit vector parallel to the resultant of vectors $\vec{A} = 4\hat{i} - 3\hat{j}$ and $\vec{B} = 8\hat{i} + 8\hat{j}$ is:

Give the names of two methods for vector addition. Write the law of parallelogram for vector addition.

Let $\vec{C} = \vec{A} + \vec{B}$,then: