A community for students.
Here's the question you clicked on:
 0 viewing
03453660
 3 years ago
why dot product of vectors is a scalar quantity and cross product is vector quantity???
03453660
 3 years ago
why dot product of vectors is a scalar quantity and cross product is vector quantity???

This Question is Open

VincentLyon.Fr
 3 years ago
Best ResponseYou've already chosen the best response.0I'm not sure I understand your question well. My answer would simply be: Because these operations were built as such by the mathematicians. Physicists use them to model different quantities that also happen to be scalar or vector.

VincentLyon.Fr
 3 years ago
Best ResponseYou've already chosen the best response.0You will choose dot or cross product according to the quantity you want to express. The work done by a force will be the result of a dotproduct (this is a consequence of the definition of work) , whereas Laplace's force, applied by a magnetic field on a conducting wire will be defined by a crossproduct.

03453660
 3 years ago
Best ResponseYou've already chosen the best response.0ooooooook now i got it. Thanks for your time sir. Thank you very much. God bless you.

Shadowys
 3 years ago
Best ResponseYou've already chosen the best response.1the dot product indicates only the product of the magnitudes(no direction) but the cross products indicate the product of the vectors(with direction) The dot product is used when the direction is universal. I.e. there is only one direction. The cross product is used when the direction is not universal. i.e. there is one or more directions it can result to. The dot product and cross product are there to prevent confusion.

damrinder
 3 years ago
Best ResponseYou've already chosen the best response.0thats what i was just going to say...,but you already said it shadowys... thats the concept ahead of maths...

Carl_Pham
 3 years ago
Best ResponseYou've already chosen the best response.0A dot product is an "inner" product, roughly speaking, it measures what two vectors have in common. Consequently it is a simpler object than either vector. A cross product is an "outer" product, roughly speaking, it measure the range of other vectors you can create using bits from both vectors. Consequently it is a more complex object. A still more complex object is a "direct" product, which would be the range of any kind of object you can make from two vectors. It's a tensor, and has 9 components.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.