Finding the cartesian equation of a line with vector equation (2,1,1)+t(1,-1,1)
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Dr.Peterson
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As a line, this will not have a single "Cartesian equation"; it will have two, commonly written in the form of a single equation with two equal signs, "this=that=other". An example from your class should clarify what sort of equations are expected.
One way to do this is to solve each equation for t, and set all three expressions you get equal to one another.
If you don't have a textbook or notes, this will show what is probably mean by "the Cartesian equation", and how to get it:
Equation of a line in space (article) | Khan Academy
Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.
www.khanacademy.org
Thank you! My confusion was I thought it would be a single Cartesian equation. The Khan Academy link explains everything very well ?As a line, this will not have a single "Cartesian equation"; it will have two, commonly written in the form of a single equation with two equal signs, "this=that=other". An example from your class should clarify what sort of equations are expected.
One way to do this is to solve each equation for t, and set all three expressions you get equal to one another.
If you don't have a textbook or notes, this will show what is probably mean by "the Cartesian equation", and how to get it:
Equation of a line in space (article) | Khan Academy
Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.