Ask a New Question

Asked by Darren

Determine parametric equations for the plane through the points A(2, 1, 1), B(0, 1, 3), and C(1, 3, −2).
6 years ago

Answers

Answered by oobleck
If the plane has equation ax+by+cd = m then we need
2a+b+c = m
b+3c = m
a+3b-2c = m
If I have done my math right,
a = m/5, b=2m/5, c=m/5
So, if we set m=5 to clear the fractions, we get
x+2y+z = 5
Now, z = 5-x-2y
So, if we let
x = s
y = t
z = 5-s-2t
6 years ago

Related Questions

What are parametric equations? How would you find the rectangular eq's when given parametric eq's?... The parametric equations for a curve in the x-y plane are x=2+t^2 and y=4-3t. Determine the points w... The parametric equations for a line L1 are as follows: x = 2+2t y = 2+2t z = −3+2t Let L2 be t... For parametric equations x=a cos t And y=b sin t Describe how the values of a and b determine whi... Given the parametric equations below, eliminate the parameter t to obtain a Cartesian equation. 0... Determine parametric equations for the line through (-2, 3) and parallel to the line with vector equ... Using Parametric equations and vectors consider the following scenario: Starting from an airport,...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use