anonymous
  • anonymous
What is normality condition of vectors?
Mathematics
chestercat
  • chestercat
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Kainui
  • Kainui
I've never heard it phrased quite this way, but for a vector to be "normal" means that it is perpendicular.
agent0smith
  • agent0smith
Just means they're perpendicular.|dw:1356056098851:dw| V1 is a normal vector to V2.
agent0smith
  • agent0smith
The dot product of normal vectors is zero.

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anonymous
  • anonymous
i got two vectors i n the same direction.. i want to make a surface normal to both.. in this book he mabe the dot product of both the vectors and it came equal to -1 and he says that this the eq of the normal surface to the vectors .. and says this is the normality condition..pl help
anonymous
  • anonymous
made*
Kainui
  • Kainui
Did you learn what the dot product is? It's the cosine of the angle between the two vectors. So if there is an angle of 0 between them it's 1, 180 degrees is -1, and 90 degrees is 0.
agent0smith
  • agent0smith
Hmm, if the two vectors are in the same direction, I don't think the dot product is going to help find the equation of the plane normal to the two vectors.
Kainui
  • Kainui
Yeah, you can't define a plane with only 2 points or a line, you need 3 points or two different lines.
anonymous
  • anonymous
actually they are in same direction but different co ordinate systems
anonymous
  • anonymous
they want to superimpose and find an equation to the normal
anonymous
  • anonymous
i will explain it more clearly... i got a vector(xi+yj+zk) in one coordinate system and another vector(pi+qj+rk) in another coordinate system..but both have same direction..... now for first vector i got horizontal component and vector component ( horizontal=a1 and vertical =v1) for second i got (horizontal=b1 and vertical=v2) now he did some dot product like that and got[(v1/a1)*(v2/b1)=-1 ] equation like this.. and he calls as it is normality condition.. and calls tht equation as that as surface normal to the second vector

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