The dot product of the vector (u + v) and (u − v) will be 40.
The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
The vectors are given below.
u = 7i + j
v = i − 3j
w = 3i + 5j
Then the dot product of the vector (u + v) and (u − v) will be
(u + v) · (u − v) = [(7i + j) + (i – 3j)]·[(7i + j) – (i – 3j)]
(u + v) · (u − v) = (8i – 2j)·(6i + 4j)
(u + v) · (u − v) = 48 – 8
(u + v) · (u − v) = 40
More about the vector link is given below.
https://brainly.com/question/13188123
#SPJ2
