If$\overrightarrow{\mathbf{V}}\mathbf{=}{\overrightarrow{\mathbf{V}}}_{\mathbf{1}}\mathbf{+}{\overrightarrow{\mathbf{V}}}_{\mathbf{2}}$, is V necessarily greater than$V_1$and/or$V_2$? Discuss.

Any quantity having magnitude and direction is known as a vector. Some examples of vectors are velocity, force, acceleration, momentum, etc.

The operation of adding two or more vectors is called vector addition. There are two types of vector addition: parallelogram law of vector addition and triangular law of vector addition.

${\overrightarrow{V}}_1$and ${\overrightarrow{V}}_2$are the two vectors having magnitudes $V_1$and $V_2$, respectively. The magnitude of vector $\overrightarrow{V}$is V.

It is given that $\overrightarrow{V}={\overrightarrow{V}}_1+{\overrightarrow{V}}_2$. The magnitude of the sum of the two vectors, V, is not necessarily greater than the individual magnitudes $V_1$and $V_2$.

For instance, if ${\overrightarrow{V}}_1$and ${\overrightarrow{V}}_2$have the same magnitude but are opposite in direction, then $V=0$. Say, ${\overrightarrow{V}}_1$is a 6 m vector pointing toward the north and ${\overrightarrow{V}}_2$is a 4 m vector pointing toward the south direction, then their sum has a length of 2 m, and is less than either of the two individual vectors.