Practicing Success
Vector in the direction of $\hat{i}+\hat{j}+\hat{k}$ with magnitude 5 units is : |
$\frac{\hat{i}-\hat{j}+\hat{k}}{\sqrt{3}}$ $\frac{\hat{i}+\hat{j}+\hat{k}}{\sqrt{3}}$ $\frac{5(\hat{i}+\hat{j}+\hat{k})}{\sqrt{3}}$ $\frac{5}{3}(\hat{i}+\hat{j}+\hat{k})$ |
$\frac{5(\hat{i}+\hat{j}+\hat{k})}{\sqrt{3}}$ |
$\vec{v} = \hat{i}+\hat{j}+\hat{k}$ $|\vec{v}| = \sqrt{1^2+1^2+1^2} = \sqrt{3}$ unit vector $\hat{v} = \frac{\vec{v}}{|\vec{v}|}$ ⇒ vector of magnitude 5 in direction of $\vec{v}$ is $5 \hat{v} = \frac{5\vec{v}}{|\vec{v}|}$ ⇒ $\frac{5(\hat{i}+\hat{j} + \hat{k})}{\sqrt{3}}$ |