Dot product
We have the vectors:
u = 8i – 3j
and
v = - i + 6j
They can be written as:
u = 8i – 3j = (8, -3)
v = - i + 6j = (-1, 6)
In order to find the dot product between them, we simply multiply the first terms of both and the second terms of both and then we add the results:
Then,
u · v = (8, -3) · (-1, 6)
= 8· (-1) + (-3) · 6
= -8 - 18 = -26
Answer: u · v = -26