LinAlg4.1.7

From Exampleproblems

Jump to: navigation, search

Find a vector of magnitude 6units which is parallel to the vector $\bar{i}+\sqrt{3}\bar{j}\,$

Let $\bar{a}=\bar{i}+\sqrt{3}\bar{j}\,$ then $|\bar{a}|=\sqrt{1+3}=2\,$

Unit vector parallel to $\bar{a}\,$ is $\frac{1}{2}(\bar{i}+\sqrt{3}\bar{j})\,$

Therefore the required vector is $6\bar{a}=6(\frac{1}{2}(\bar{i}+\sqrt{3}\bar{j})=3\bar{i}+3\sqrt{3}\bar{j}\,$

Main Page:Linear Algebra

Retrieved from "http://www.exampleproblems.com/wiki/index.php/LinAlg4.1.7"

Views

Personal tools

Log in

Search

Toolbox

Get A Wifi Network Switcher Widget for Android