Dot Product and Cross Product of Vectors Explained | Vector Multiplication @ALLABOUTELECTRONICS
Dot Product and Cross Product of Vectors Explained | Vector Multiplication  @ALLABOUTELECTRONICS
Uploaded November 2025 | Updated September 2026, 3 weeks ago
*In this video, the two types of Vector Multiplication ( Dot Product and Cross Product ) is explained in detail with Solved Examples.*

The following topics are covered in the video:
0:00 Vector Multiplication using Dot Product
5:22 Finding the angle between the two vectors using Dot Product
9:15 Vector Multiplication using Cross Product
21:46 Properties of the Dot Product and Cross Product
25:04 Scaler Triple Product and Vector Triple Product

_What is Dot Product:_
It is a type of vector Multiplication, where the result of the multiplication is scaler quantity. The result of the Dot Product signifies that how much one vector lies in the direction of the other vector. When the two vector are parallel to each other, their dot product is maximum, and when they are perpendicular, their dot product is zero.

If *A* and *B* are the two vectors, then their dot product
*A* . *B* = | *A* | | *B* | cos θ

Using Dot Product, it is possible to find the angle between the two vectors.

_What is Cross Product:_
It is a type of Vector Multiplication, where the result of the multiplication is vector quantity. The result of the cross product is a vector that is perpendicular to the plane containing both vectors. And its direction can be found using right hand screw rule.

If *A* and *B* are the two vectors, then their cross product
*A* X *B* = | *A* | | *B* | sin θ *an*
Where, *an* is the unit vector in the direction of *an*

In this video the significance of both Dot Product and Cross Product is explained, and both type of vector multiplication is explained using the examples. And at the later part of the video, the scaler triple product and vector triple product is explained.

*The link for the other useful videos related to Electromagnetic Theory:*
bit.ly/4nrqFDv

*The link for the 3D visualiser for understanding Dot Product and Cross Product of two vectors:*
bit.ly/4hWL1Ul


This video will be helpful to all the students of science and engineering in understanding how to find the Dot Product and Cross Product of Vectors.

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#vectoralgebra
#dotproduct
#crossproduct
#emft

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Dot Product and Cross Product of Vectors Explained | Vector Multiplication

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