Vector dot product (Dot Product), the vector cross product (Cross Product)

Vector dot product (Dot Product), the vector cross product (Cross Product)

April 30, 2017 10:17:04  qq_27245709  number 9815 read more

Category Column:  Linear Algebra

 

Reprinted from http://blog.csdn.net/fox64194167/article/details/8147460, only for personal learning.

Reference is "mathematical games and 3D graphics Guide", a very good book, recommended reading, a foreigner liked to explain things in great detail.

 

1. The vector dot product (Dot Product)

 

 

Result vector dot product of what is the point? In fact, the vector dot product with the angle between two vectors related.

 

 

2. The vector cross product (Cross Product)

 

Two vectors a, b, they are represented as the cross product AXB, this is easy with the multiplication between two numbers in mathematics, but this is completely different.

 

Vector cross product of two coordinates in the pattern is very intuitive, axb simultaneously perpendicular to a and b.

It is easy to verify that axb a vertical vector and b simultaneously. The knowledge vector multiplication, we only need to separately calculate lower and axb a, b vector product is equal to zero. The following calculation does equal 0, which can also be used to verify the correct way we usually vector cross product.

 

 

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