How do taking vector product of two vectors gives us another vector which is PERPENDICULAR TO BOTH THE VECTORS?

Asked Oct 20 '20 at 07:52

Active Oct 20 '20 at 07:55

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I know that to get a vector perpendicular to another two vectors, we need to take the cross product of that two vectors. But I don't know why it is like that.

Anybody pls explain why it is so intuitively or just give me the proof or something.........,

Thank you!

edited Oct 20 '20 at 07:55

Mauro ALLEGRANZA

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asked Oct 20 '20 at 07:52

Saravanan

1

It is simply by definition. – Andrew Chin Oct 20 '20 at 07:53
https://math.stackexchange.com/questions/420006/why-does-cross-product-give-a-vector-which-is-perpendicular-to-a-plane – Matti P. Oct 20 '20 at 07:58
Two vectors in general define a plane: the plane containing the two lines corresponding to the vectors. The cross product is defined to identify the vector perpendicular to the plane containing them, that again identifies the plane univocally. – Mauro ALLEGRANZA Oct 20 '20 at 07:58
Guys thank u for all of u! I got my doubt cleared. Thank u so much all. – Saravanan Oct 20 '20 at 08:07

How do taking vector product of two vectors gives us another vector which is PERPENDICULAR TO BOTH THE VECTORS?

0 Answers0