From the question we were asked to calculate the dot product of (-5, 7) . (3, 7)
in order to calculate this, we use the component formula for the dot productof two dimensional vectors, which states that:
a . b = a1b1 + a2b2
so lets take:
a = (-5, 7)
b = (3, 7)
So,
a1 = -5
a2 = 7
b1 = 3
b2 = 7
a . b = -5(3) + 7(7)
= -15 + 49
= 34
Therefore, the dot product is 34