Dot Product Calculator
The Dot product is the result of multiplying two vector quantities. It is often known as a scalar product. This emphasizes the magnitude of the value only. The word scaler predicts that the answer will be scaler quantity rather than vector quantity. However, it deals with the single dimension of the value, rather than the three-dimensional value.
Table Of Content
Formula Of Dot Product Calculator
The dot product is represented by a dot between two values. i.e
A.B = |A| |B| cos(θ)
|A| = magnitude of the vector quantity A
|B| = magnitude of the vector quantity “B”
θ (theta) = angle between A and B
To gain knowledge about cross product, click the Cross Product Calculator.
Properties Of Dot Product
The characteristics of dot products are as follow:
The value outside the bracket is multiplied with both terms inside i.e.,
A . ( B + c ) = A . B + B . C
Multiplying the values in either order will have the same result. i.e.,
A . B = B . A
The results of combining elements of two vector values in either pattern will be the same. i.e.,
A(RB + C) = R(A . B) + (A . C)
In scalar multiplication, you can take the common values inside the bracket. i.e.,
(C1A) . (C2B) = C1C2 (A . B)
Calculate the dot product of vectors A and B, where A = 8, B = 15, θ = 60°.
A = 8
B = 15
θ = 60°
A.B = ?
As we know,
A.B = |A| |B| cos(θ)
Putting values in the formula:
A.B = (8) (15) cos(60)
A.B = (120) (0.5)
A.B = 60
Therefore, the dot product of vectors A and B is A.B = 60
How to use Dot Product Calculator?
The steps to use dot product calculator are as follows:
Step 1: Enter the values of vector A in the first required input.
Step 2: Enter the values of vector B in the second required input.
Step 3: The calculator will automatically display an answer on the screen.
What function does a dot product calculator perform? You just have to put values for the components of each vector and click on the button below. After a few seconds results will appear on your screen. It automatically generates the answer to your problems. You can solve even complex questions using calculatorsbag's calculators. For an advanced level question, add more than a single value and you will get the solution along with the final answer. You can add negative values, fractions, mixed numbers, and rational numbers to create your question.