Worksheet for Vector Dot / Scalar product Calculation

This worksheet will help you to know about the concept of the vector dot product. It is used to describe the product of physical quantities which have both a magnitude and a direction associated with them. The Dot Product also known as Scalar Product. The dot product of two vectors in the same direction is equal to the product of their magnitudes. The scalar product of two perpendicular vectors is zero.

Vector Cross Product Properties
The Scalar or Dot product of the vectors properties are
1. The commutative Law A . B = B . A
2. The Distributive Law A . (B + C) = A. B + A . C
3. A (B . C) = B . (AC)
4. A . A >= 0; and A. A = 0 if and only if A = o

For Example
Let the two vectors be A, B and C is the resultant vector. The inputs are in the ijk format.
C = A . B
A = 1i+2j+3k
B = 4i+5j+6k
Then the resultant vector C = A . B
C =(1x4) + (2x5) + (3x6)
= 32
Hence the resultant vector product is 32

Above worksheet is a walk through to understand how to calculate vector dot/ scalar product. When it comes to online calculation this Vector Dot Product Calculator is an essential tool to make your calculation easy.


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  Algebra   Vector algebra