Question

cross product of vectors

Answer 1

if p and q are unit vectors than p x q is also a unit vector

Answer 2

vectors

Answer 3

what?

Answer 4

cross product of vectors =vectors

Answer 5

What is your question?

Answer 6

if p and q are unit vectors than p x q is also a unit vector (true or false)

Answer 7

so i am assuming it is falsw

Answer 8

I got no clue on how to prove this, it's quite a hard proof, I believe.

Answer 9

obviously unit vector means true

Answer 10

(If you're referring to me 08surya) yes, but how do you prove this if p,q belongs to R^n?

Answer 11

letts talk about i and j two unit vectors and cross product is k that is also a unit vector

Answer 12

alright

Answer 13

and if u r talking about unit vectors which r not in same plane then its difficult to say

Answer 14

definition of cross product between two vector \(a\) and \(b\) is given by:\[a\times b=|a|\cdot|b|\sin(\theta)n\]where \(n\) is in the direction perpendicular to \(a\) and \(b\) and is given by the right-hand-rule.

So, if \(a\) and \(b\) are uit vectors, then their cross product will also be a unit vector ONLY if the angle between them is \(90^0\).

Answer 15

You might find this useful: http://www.mathsisfun.com/algebra/vectors-cross-product.html

Answer 16

can you provide me an example algebraically and geomatrically