Register to reply 
Intuitive meaning of Dot Product 
Share this thread: 
#1
May814, 03:35 PM

P: 58

I know intuitively that the Cross Product of two vectors ##\vec{A}## and ##\vec{B}## represents another vector ##\vec{A \times B}## perpendicular to it. In study of physics we come across this situation a lot. Hence I can visualize some applications of it
I know that the dot product of two vectors ##\vec{A}## and ##\vec{B}## is scalar quantity and also that it represents angular relationship between ##\vec{A}## and ##\vec{B}## .i.e.
But I won't be able to understand intuitively, What does the dot product represents. What does the magnitude of the dot product of two vectors represents. 


#2
May814, 03:49 PM

Mentor
P: 11,745

It represents the component or projection of one vector along the other one, times the magnitude of the other one. This diagram shows it using the projection of A along B: (A cos θ)B.
You can also do it the other way, using the projection of B along A, and get the same result: (B cos θ)A. 


#3
May814, 04:06 PM

P: 4,018




#4
May914, 08:58 AM

P: 58

Intuitive meaning of Dot Product



Register to reply 
Related Discussions  
An intuitive meaning to the phase constant k?  Classical Physics  4  
Intuitive meaning for Newtonmeter  Classical Physics  1  
What is the meaning of Dot Product  General Math  12  
Intuitive meaning of string wavefunction?  Beyond the Standard Model  5  
Meaning of gravity in an intuitive sense?  General Physics  5 