Question

Find the dot product of the position vectors whose terminal points are (15, 25) and (8,5).

Answer 1

We have the following two vectors given: a=(15,25) and b=(8,5) and using the last formula we got:

`a.b = 15*8 + 25*5 =245`

And the dot product would be 245 for this case

Explanation:

For this case the dot product is defined for two vectos a=(ax, ay), b=(bx,by):

`a.b = a_x*b_x +a_y b_y`

We have the following two vectors given: a=(15,25) and b=(8,5) and using the last formula we got:

`a.b = 15*8 + 25*5 =245`

And the dot product would be 245 for this case