Addition of Vectors

A bus is moving on a straight road towards north with a uniform speed of  $50 \mathrm{km} {\mathrm{h}}^{-1}$  turns through  $90°$ anticlockwise. If the speed remains unchanged after turning , the increase in the velocity of bus in the turning process is:

What is an Equilibrant?

When two right-angled vectors of magnitude $7 \mathrm{units} and 24 \mathrm{units}$ combine, what is the magnitude of their resultant?

The magnitude of the vector sum of two vectors is found to be equal to the sum of their magnitudes. 

If  $\left(\stackrel{\rightharpoonup }{V_1}\right) = 3\widehat{i } +4\widehat{j }+\hat{k} and \left(\stackrel{\rightharpoonup }{V_2}\right) = \widehat{i } -\widehat{j }-\hat{k}$then determine magnitude of $\left(\stackrel{\rightharpoonup }{V_1}\right) +\left(\stackrel{\rightharpoonup }{V_2}\right)$.

If $\overrightarrow{a}=\hat{i}+2\hat{j}+4\hat{k}$ and $\overrightarrow{b}=4\hat{i}+2\hat{j}+6\hat{k}$, then verify associative property of vector addition.

If $\overrightarrow{a}=\hat{i}+2\hat{j}+3\hat{k}$ and $\overrightarrow{b}=4\hat{i}+2\hat{j}+6\hat{k}$, then verify associative property of vector addition.

If $\overrightarrow{a}=\hat{i}+2\hat{j}+3\hat{k}$$\text{ and }\overrightarrow{b}=3\hat{i}+2\hat{j}+2\hat{k}$, then verify associative property of vector addition.

If $\overrightarrow{a}=3\hat{i}+2\hat{j}+\hat{k}$$\text{ and }\overrightarrow{b}=3\hat{i}+2\hat{j}+2\hat{k}$, then verify associative property of vector addition.

$\overrightarrow{a}=\hat{i}+2\hat{j}+4\hat{k}$. Find the sum of given vector with additive identity of vectors.

$\overrightarrow{a}=4\hat{i}+2\hat{j}+6\hat{k}$. Find the sum of given vector with additive identity of vectors.

$\overrightarrow{a}=\hat{i}+2\hat{j}+3\hat{k}$. Find the sum of given vector with additive identity of vectors.

$\overrightarrow{a}=3\hat{i}+2\hat{j}+\hat{k}$. Find the sum of given vector with additive identity of vectors.

$\overrightarrow{a}=2\hat{i}+4\hat{j}+5\hat{k}$. Find the sum of given vector with additive identity of vectors.

If $\overrightarrow{a}=2\hat{i}+4\hat{j}+5\hat{k}\text{ and }\overrightarrow{b}=3\hat{i}+2\hat{j}+2\hat{k}$, then verify associative property of vector addition.

$\overrightarrow{a}=7\hat{i}+2\hat{j}+3\hat{k}$, $\overrightarrow{b}=8\hat{i}+9\hat{j}+4\hat{k}$. Prove that addition of vectors is commutative using given vectors.

$\overrightarrow{a}=5\hat{i}+4\hat{j}+8\hat{k}$, $\overrightarrow{b}=4\hat{i}+9\hat{j}+5\hat{k}$. Prove that addition of vectors is commutative using given vectors.

$\overrightarrow{a}=4\hat{i}+5\hat{j}+6\hat{k}$, $\overrightarrow{b}=2\hat{i}+5\hat{j}+7\hat{k}$. Prove that addition of vectors is commutative using given vectors.

$\overrightarrow{a}=3\hat{i}+5\hat{j}+7\hat{k}$, $\overrightarrow{b}=2\hat{i}+5\hat{j}+8\hat{k}$. Prove that addition of vectors is commutative using given vectors.

$\overrightarrow{a}=2\hat{i}+3\hat{j}+5\hat{k}$, $\overrightarrow{b}=3\hat{i}+4\hat{j}+6\hat{k}$. Prove that addition of vectors is commutative using given vectors.