# Calculate The Dot Product of A= (1, 2, 3) and B= (4, −5, 6)

Calculate the dot product of a= (1, 2, 3) and b= (4, −5, 6) . What type of angle the vectors will form?

SOLUTION:

Using the formula for the dot product of three-dimensional vectors as follows,

ab = a1b1+a2b2+a3b3,

We may calculate the dot product to be:

ab = a1b1+a2b2+a3b3

ab = 1(4)+2(-5)+3(6)

ab = 4 10 + 18 =12

Since ab is positive, we can infer that the vectors will form an acute angle.