Question

How do I find the dot product of `<2, 3>` and `<4, −7>`?

Answer 1

Let's begin by naming our vectors.

v`=<2,3>`
w`=<4,-7>`

Find the product of the horizontal components, `i`.
Find the product of the vertical components, `j`.
Then add those `2` products together.

v`*`w`=v_i*w_i+v_j*w_j`

v`*`w`=(2)(4)+(3)(-7)`

v`*`w`=8-21`

v`*`w`=-13`