Consider the vectors 2 3 12 18 Find the dot product of the t

Consider the vectors. (2, -3), (12, -18) Find the dot product of the two vectors. Find the angle between the two vectors. (Round your answer to the nearest minute.

Solution

a) Dot product = a.b = (2, -3).(12, -18) = (2*12) + (-3*-18) = (24 + 54) = 78

b) IaI = sqrt(13)

IbI = sqrt(468)

Angle = arccos[78/sqrt(13*468)] = 0 =====> parallel