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Smoores Smoores
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12 years ago
I have two unit vectors:

n1, n2

If I take the cross product of the two unit vectors:

n1 x n2

Can I determine what the magnitude of the resulting vector is without performing the standard calculations for magnitude? E.g. is the resulting magnitude trivial?
To clarify: specifically for the cross product of _unit vectors_ is the resulting magnitude trivial?
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#1
12 years ago
|n1 x n2|=|n1|*|n2|*sin(t), where t is the angle between the vectors

if n1,n2 are unit vectos, so |n1|=|n2|=1, you have

|n1 x n2|= sin(t)

if they are orthogonal, n1 x n2 is also unit because t=pi/2, sin(t)=1
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