Question

Evaluate the dot product of (7, 5) and (- 5, 4)

Answer 1

The dot product of (7,5) and (-5,4) is -15

Explanation:

Given

(7,5) and (-5,4)

Required

Determine the dot product

Dot product is calculated using the following formula;

`a.b = {a_1b_1+a_2b_2+...+a_nb_n}`

Let a = (7,5) and b = (-5,4);

The above formula becomes

`a.b = {7*-5+5*4}`

`a.b = {-35+20}`

`a.b = {-15}`

Hence, the dot product of (7,5) and (-5,4) is -15