11 HL: Vector and Cartesian Equations of Planes

Try the (challenge) question below before our next class. For an extra challenge, can you post your solution below using \(\LaTeX\)? (See here for a quick tutorial.)

Find a vector equation of the plane whose Cartesian equation is \(2x+y-z=4\).

Hint 1
Can you find three points that lie on the plane? Those three points might be useful…
Hint 2
Those three points can be used to find two useful vectors…

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