Calculus & Vectors (MCV4U) · Lines Planes 3D

Equations of Planes (Vector, Parametric, Scalar/Cartesian)

30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.

Start the 30 questions Curriculum: MCV4U-LP3.2

Sample: the first question, solved

In the scalar equation of a plane Ax+By+Cz+D=0, what does (A,B,C) represent?

📘 Worked solution
The coefficients (A,B,C) form the normal vector, which is perpendicular to the plane.

And one from the hard end

"Find the scalar equation of a plane containing the line r=(1,2,0)+t(1,−1,2) and passing through (0,0,3)."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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