2006-10-08 05:50:06 · 3 answers · asked by Viktor Krum 1 in Science & Mathematics ➔ Physics
The vector is usually associated with a 3D equation as the dot product is a calculation of multiple possible values to show an approximate view of the vector. The higher your dot product range and resolution, the closer it will be to the vector representation.
2006-10-08 05:56:58 · answer #1 · answered by juliepelletier 7 · 0⤊ 0⤋
A vector would be a coordinate in a vector space. Meaning if you have a space spanned by a set of unit vectors, a vector would be a linear combination of the unit vectors. For example for a 3 dimensional space spanned by u,v,w a vector could be:
T=3u+5v+3w
You could think of it as the coordinate 3,5,3.
The dot product between two such vectors would be the sum of the product of all coordinates.
If T=x0*u+y0*v+z0*w
and S=x1*u+y1*v+z1*w
Then T dot S=x0*x1+y0*y1+z0*z1 (which is a scalar).
It is also equivalent to the length of S times the length of T times cos(angle) between them.
Also, if the length of one of them is a unity, then the dot product shows the projection length of the other on the first.
2006-10-08 06:30:36 · answer #2 · answered by Nir T 2 · 0⤊ 0⤋
this is a formula for a three dimensial vector
v = ai + bj + ck
the dot product will give u the resultant of two three dimensinial vectors .
there u go
2006-10-08 05:52:15 · answer #3 · answered by sur2124 4 · 0⤊ 0⤋