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Calculate The Dot Product of A = (−4,−9) and B = (−1,2)

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Calculate the dot product of a = (−4,−9) and b = (−1,2) . What type of angle the vectors will form?

SOLUTION:

Using the following formula for the dot product of two-dimensional vectors,

a⋅b = a1b1+a2b2,


we calculate the dot product to be

a⋅b = a1b1+a2b2

a⋅b = -4(-1) – 9(2)

a⋅b = 4 - 18

a⋅b = -14.


Since a⋅b is negative, we can infer that the vectors form an obtuse angle

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