Welcome to EDAboard.com

Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.

dot product and cross product

Status
Not open for further replies.

hasitri

Junior Member level 1
Joined
Nov 15, 2005
Messages
18
Helped
0
Reputation
0
Reaction score
0
Trophy points
1,281
Activity points
1,480
whaat is the significance of dot product and cross product (application view)
can anybody help me
 

hr_rezaee

Advanced Member level 3
Joined
Oct 6, 2004
Messages
751
Helped
109
Reputation
218
Reaction score
24
Trophy points
1,298
Location
Iran-Mashhad
Activity points
4,025
hi
I guess that dot product is product of two vectors that its output is a value but cros product is product of two vector that its output is a vector.
 

electronics_kumar

Advanced Member level 2
Joined
Nov 29, 2004
Messages
659
Helped
34
Reputation
68
Reaction score
9
Trophy points
1,298
Location
Tamilnadu
Activity points
5,552
dot product for scalers multiplication a.b=absinθ
cross product for vectors multiplication AxB=AB cosθ
 

irfan1

Full Member level 5
Joined
Oct 26, 2003
Messages
294
Helped
25
Reputation
50
Reaction score
10
Trophy points
1,298
Activity points
2,874
dot product is a projection. Upon dot product, the result is the projection of one vector on the other one. So the result is a scalar value.

The result of a cross product is again a vector.
 

cheng

Member level 5
Joined
Dec 31, 1999
Messages
89
Helped
4
Reputation
8
Reaction score
2
Trophy points
1,288
Activity points
1,588
Hi. The dot product is an operation that provides relations between vectors. This is axiomatically needed to close definition of linear space, but its major notion is to be able to compare 2 vectors. Else, how can we compare vectors? Comparison is made by dot product where we define metrics. The dot product is necessary to be able to "differentiate" vectors. As it was pointed out it also defines projections, but it is secondary. The first meaning is to define "magnitude" (or scalar quantity) to each vector (by projecting it onto itself).

The cross product is a mathematical notation to reflect vector mapping. What I mean is that unlike the dot product that maps 2 or more vectors in a scalar, the cross product maps vectors in vectors and it is inhere to simply describe what happens in nature. Else, we shall not be able togive full account to effects like momentum for instance or many force relations in mechanics.

Generally speaking cross product is not necessary for linear spaces and is an useful addition to it.

For linear spaces to be closed it is necessary that the linear combination of any vectors remains in there, yet any linear combination of 2 vectors defines and retains the plane. The cross product (besides being vector) is orthogonal to the plane of its parents. Like when you tighten the bolts of your car's tire you rotate in one plane (the gauge) and it translates to linear force upward.

Hope you manage to get the picture.

regards
 

    hasitri

    Points: 2
    Helpful Answer Positive Rating
Status
Not open for further replies.

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Top