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?

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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?

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Answer 1 · 2018-07-17T20:12:49

Equation is given below

Explanation:

Equation of line passing through two points $A (x_{1}, y_{1}, z_{1})$ $A(x_1, y_1, z_1)$ & $B (x_{2}, y_{2}, z_{2})$ $B(x_2, y_2, z_2)$ are given as

$\frac{x - x_{1}}{x_{2} - x_{1}} = \frac{y - y_{1}}{y_{2} - y_{1}} = \frac{z - z_{1}}{z_{2} - z_{1}} = t$ $\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1}=\frac{z-z_1}{z_2-z_1}=t$

Where, $t$ $t$ is some arbitrary constant

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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?

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Explanation:

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Given two points in 3-D space, such as A(x_1,y_1,z_1)A(x1,y1,z1)A(x_1,y_1,z_1) and B(x_2,y_2,z_2)B(x2,y2,z2)B(x_2,y_2,z_2), what would be the equation of the line that connects those points?

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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?