So if always has a magnitude of 1, why is it included in the cross product formula? Is it so it gives the cross product direction?(Original post by B_9710)
Yes that's what the hat above the n means.
When you simply find the cross product of 2 non parallel vectors, say a and b your answer gives a vector that is perpendicular to both a and b, but this perpendicular vector does not necessarily have a magnitude of 1.
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The dot product and the cross product watch
- Thread Starter
- 06-03-2016 17:30
(Original post by Megan_101)
- 06-03-2016 18:03
So if always has a magnitude of 1, why is it included in the cross product formula? Is it so it gives the cross product direction?
- 06-03-2016 19:10
- to prove that two not null vectors are parallel, just prove that their cross product is zero.
- to prove that two not null vectors are perpendicular, just prove that their dot product is zero.
Finding the absolute value of the dot product of a vector a with the cross product of two other vectors b and c, we find the volume of a parallelepiped with sides a, b, c.