我如何才能找到一个点放置2点形成用段只有部分长度段之间？ [英] How can I find a point placed between 2 points forming a segment using only the partial length of the segment?

问题描述

鉴于2点A（X0，Y0，Z0）和C（X2，Y2，Z2）形成长度K，什么是方程找到一个点C的区段（X1，Y1，Z1）放置在从一个K-1的距离？

Given 2 points A(x0,y0,z0) and C(x2,y2,z2) forming a segment of length "k", what is the equation to find a point C(x1,y1,z1) placed at "k-1" distance from A?

推荐答案

这是基本的数学。如果你已经有了类处理向量和点，你应该能够做这样的事情：

This is basic maths. If you already have classes handling vectors and points, you should be able to do something like this:

Vector direction = C - A;
direction.Normalize();
Point newpoint = A + (k-1) * direction;

您只需要

• 点之间的差异（给人一种载体）

• difference between points (gives a vector)

标量与向量浮点型产品（提供了新的载体）

scalar product of a float with a vector (gives a new vector)

另外一个点，一个矢量（给出了一个新的点）

addition of a point and a vector (gives a new point)

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