# How do you find a) u+v, b) u-v, c) 2u-3v given u=2i, v=j?

Aug 3, 2017

See the explanation below

#### Explanation:

The $2$ vectors are

$\vec{u} = 2 \vec{i}$

$\vec{v} = \vec{j}$

$\left(a\right)$ addition of the $2$ vectors

$\vec{u} + \vec{v} = 2 \vec{i} + \vec{j}$

$\left(b\right)$ substraction of the $2$ vectors

$\vec{u} - \vec{v} = 2 \vec{i} - \vec{j}$

$\left(c\right)$ multiplication by a scalar and substraction of the $2$ vectors

$2 \vec{u} - 3 \vec{v} = 2 \times 2 \vec{i} - 3 \times \vec{j} = 4 \vec{i} - 3 \vec{j}$