Question

Let v=-3sqrt2i-4sqrt2j, find a unit vector that points in the opposite direction

Answer 1

Idk I think be v~14 * 72

Answer 2

`\^v=-(3)/(5)i+(4)/(5)j`

Explanation:

We have the following vector

`v=3√(2)i-4√(2)j`

First we calculate its magnitude

The magnitude of the vector v will be

`|v|=\sqrt{(3√(2))^2 + (4√(2))^2}\\\\|v|=√(9*2+16*2)\\\\|v|=√(18+32)\\\\|v|=5√(2)`

Now to create a unitary vector in the opposite direction to v, we divide the vector v between the negative of its magnitude

we call this new vector "
`\^v`"

`\^v=(3√(2))/(-5√(2))i-(4√(2))/(-5√(2))j`

`\^v=-(3)/(5)i+(4)/(5)j`