Let(adsbygoogle = window.adsbygoogle || []).push({});

n = (a,b,c)

v = (x,y,z)

Whatever the dot product of these vectors equal to, lets call d, the vector n is perpendicular to v. Again, I cannot stay calm and ask WHY?

If we call n = (a,b); v= (x,y) ==> ax+by= d and the slope of this line is -a/b whereas the slope of the vector n is b/a. Yes, they are perpendicular since -a/b * b/a = -1 (tanx * tan(90+x) = -1)

I can visualize and experiment it in 2-D but in 3-D I can't.

Also, how do we define a line that passes through the origin and, for instance (1,1,1). I have trouble transforming my logic from x-y plane to space.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# The dot product

Loading...

Similar Threads - product | Date |
---|---|

I The vector triple product | Feb 15, 2018 |

B Tensor Product, Basis Vectors and Tensor Components | Nov 24, 2017 |

I Homomorphism of an elementwise sum and dot product | Sep 15, 2017 |

**Physics Forums - The Fusion of Science and Community**