Anyone can point me to good documentation using the "Dot" (.) and "Cross"

(x) products with complex numbers? Using

?Dot

and

?Cross

is extremely limited in content and examples.

Thanks

Herman

1. Dot Product on Complex Numbers

2. Discrepancy between dot product and cross product

Hi,

I am trying to find the angle between two vectors. This

is going to be between -pi and pi and positive for counterclockwise

angles.

Using dot product I seem to get the correct results but I can't

interpret

the result for the cross product. Can someone help?

I attach a snippet and some explanation below.

--------------------------------------------------------------------

v1 = [0.0023 -0.0439];

v2 = [1 0];

v1_3D = [v1 0];

v2_3D = [v2 0];

CP = cross(v2_3D, v1_3D); % order matters: rotate v2 to v1

sign = 1;

if CP(3) < 0 % clockwise acute angle

sign = -1;

end

angleDot = sign*acos( dot(v1,v2)/(norm(v1)*norm(v2)) )

angleCross = sign*acos( norm(CP)/(norm(v1_3D)*norm(v2_3D)) )

--------------------------------------------------------------------

Now: acos(dot(v1,v2)/(norm(v1)*norm(v2))) -> 1.5185 which seems to be

the correct angle (without the sign)

However,

acos( norm(CP)/(norm(v1_3D)*norm(v2_3D)) ) -> 0.0523, that appear to

be

pi/2 - 1.5185.

Does anyone know why this happens? I expected them to give the same

result.

thanks

michalis

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10. Fastest way to compute dot product (inner product) in Ruby?

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