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anonymous
 4 years ago
Searched google for a half hour and couldn't find anything that helpful. The best I could find was
http://www.math.jhu.edu/~vlorman/32.pdf
Given vectors a and b, do teh equations x CROSS a = b and x DOT a = a determine a unique vector x? Argue both geometrically and analytically.
Any help is appreciated.
anonymous
 4 years ago
Searched google for a half hour and couldn't find anything that helpful. The best I could find was http://www.math.jhu.edu/~vlorman/32.pdf Given vectors a and b, do teh equations x CROSS a = b and x DOT a = a determine a unique vector x? Argue both geometrically and analytically. Any help is appreciated.

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phi
 4 years ago
Best ResponseYou've already chosen the best response.0i think we can use x dot a = x a cos A and  x cross a  = x a sin A to show we get x to a sign (i.e. two possible directions)

phi
 4 years ago
Best ResponseYou've already chosen the best response.0if vectors a and b are not orthogonal, then there is no x such that x cross a = b (because b must be orthogonal to both x and a) if a and b are not zero and orthogonal, we get a unique x x will form an angle A= atan( b/a) with vector a, and have length= a tan A
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