Question

Find parametric equations and symmetric equations for the line of intersection of the given planes. x + y + z = 5, x + z = 0

Answer 1

The next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

What is the meaning of parametric and non parametric?

• The assumptions behind parametric statistics relate to the population's distribution from which the sample was drawn.
• Since no presumptions are made while using nonparametric statistics, data can be gathered from samples that do not fit any particular distribution.

x + y + z = 5, x + z = 0

the line satisfies

x + z = 0 , y = 5

thus

x = t, y = 5 and z = -t .

the first one is technically already the symmetric equations of the line.

thus:

x = -z ; y = 5

the next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

Learn more about parametric equations

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