## Raja99 2 years ago What is normality condition of vectors?

1. Kainui

I've never heard it phrased quite this way, but for a vector to be "normal" means that it is perpendicular.

2. agent0smith

Just means they're perpendicular.|dw:1356056098851:dw| V1 is a normal vector to V2.

3. agent0smith

The dot product of normal vectors is zero.

4. Raja99

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

5. Raja99

6. 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.

7. 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.

8. Kainui

Yeah, you can't define a plane with only 2 points or a line, you need 3 points or two different lines.

9. Raja99

actually they are in same direction but different co ordinate systems

10. Raja99

they want to superimpose and find an equation to the normal

11. Raja99

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