Question

How do you compute the dot product to find the magnitude of `u=<-5,12>`?

Answer 1

`color(blue)(13)`

Explanation:

You cannot compute the dot product with only 1 vector. You do not need the dot product to find the magnitude of the given vector anyway.

The magnitude of a position vector `bba=[x_1,y_1]` is given by:

`||bba||=sqrt((x_1)^2+(y_1)^2`

Hence:

`bbu=[-5,12]`

`||bbu||=sqrt((-5)^2+(12)^2)=sqrt(169)=13`