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rl127 rl127
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12 years ago
So the theory says that if the dot product of two vectors is zero, those two vectors would be perpendicular but why? Can you please prove the theory or explain how it was established.
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#1
12 years ago
axb = |a||b|cos(x) x is angle between them.
if a and b perp. then x = 90 deg.
cos(90) = 0
so axb = |a||b|cos(x) = 0
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#2
12 years ago
The dot product of vector A time vector B = magnitude of A times magnitude of B times cosine of the angle between them. The only way the second part of the equation is zero is if the angle between them is 90, so that would make them perpendicular.
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