# Given 2 vectors bbA = 4bbi + 3bbj  and bbB =5bbi - 2bbj how do you write an expression for the vector difference bbA - bbB using unit vectors?

Jul 20, 2018

The answer is $= - \hat{i} + 5 \hat{j}$

#### Explanation:

The $2$ vectors are

$\vec{A} = 4 \hat{i} + 3 \hat{j}$

and

$\vec{B} = 5 \hat{i} - 2 \hat{j}$

Then,

$\vec{A} - \vec{B} = \left(4 \hat{i} + 3 \hat{j}\right) - \left(5 \hat{i} - 2 \hat{j}\right)$

$= \left(4 - 5\right) \hat{i} + \left(3 + 2\right) \hat{j}$

$= - \hat{i} + 5 \hat{j}$