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I've never heard it phrased quite this way, but for a vector to be "normal" means that it is perpendicular.
Just means they're perpendicular.|dw:1356056098851:dw|
V1 is a normal vector to V2.
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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
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.
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.
Yeah, you can't define a plane with only 2 points or a line, you need 3 points or two different lines.
actually they are in same direction but different co ordinate systems
they want to superimpose and find an equation to the normal
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