Dot Product Calculator

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

Dot Product is the product of the magnitudes of the two given vectors. Dot product is also called as Scalar product since the final result is just a scalar number with only magnitude and no direction. Dot product calculator is the online tool which can help us calculate the dot product between two vectors.

Example 1:Given two vectors, a = <2, 1, 3> and b = <-1, 5, 4>

Dot product is given by > a .b = <2, 1, 3>.<-1, 5, 4>

> Since dot product is just a scalar product between numbers, we get

> a.b = (2 * -1) + (1 * 5) + (3 * 4)

> a.b = -2 + 5 + 12

> a.b = 15

Hence the dot product between the given vectors ‘a’ and ‘b’ > a.b = 15

Example 2: Given vector ‘a’ has magnitude of 4 and vector ‘b’ has magnitude of ‘5’.  If the angle between the two vectors is 60°, then find the dot product between them.

Given magnitude of vector ‘a’ > | a | = 4

Given magnitude of vector ‘b’ > | b | = 5

Given angle between vectors ‘a’ and ‘b’ > θ= 60°

Dot Product between vectors ‘a’ and ‘b’  > a.b = | a| * | b | * cosθ

> a.b = 4 * 5 * cos(60°)

> a.b = 20 * ½

> a.b = 10