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Find a parametric equation of the line m through p and q

Sagot :

MrRoyal

The parametric equation of the line illustrates the independent variables x, y and z

The parametric equation of the line and direction is x = 5 + t; y = -1; z = 3 -2t

How to determine the parametric equation?

The question is incomplete, as the points and the lines are not given.

So, I will make use of the following assumed parameters:

  • The line passes through:  (5, -1, 3)
  • The direction is ~v = <1, 0, -2>

The parametric equation of the line is represented as:

r<x,y,z> = Line + t<direction>

This gives

r<x,y,z> = (5, -1, 3) + t<1, 0, -2>

Express the equation in terms of x, y and z

x = 5 + t * 1

y = -1 + 0 * t

z = 3 -2 * t

Solve the equations

x = 5 + t

y = -1

z = 3 -2t

Hence, the parametric equation of the assumed line and direction is x = 5 + t; y = -1; z = 3 -2t

Read more about parametric equations at:

https://brainly.com/question/51019

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