Given two points in 3-D space, such as $A(x_1,y_1,z_1)$ and $B(x_2,y_2,z_2)$ , what would be the equation of the line that connects those points?

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Answer 1 · 2018-07-17T20:12:49

Equation is given below

Equation of line passing through two points $A(x_1, y_1, z_1)$ & $B(x_2, y_2, z_2)$ are given as

$\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1}=\frac{z-z_1}{z_2-z_1}=t$

Where, $t$ is some arbitrary constant

Given two points in 3-D space, such as A(x_1,y_1,z_1)A(x_1,y_1,z_1) and B(x_2,y_2,z_2)B(x_2,y_2,z_2), what would be the equation of the line that connects those points?