Calculus & Vectors (MCV4U) · Lines Planes 3D

Vector and Parametric Equations of Lines

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-LP3.1

Sample: the first question, solved

What piece of information, together with a point on a line, is needed to write its vector equation?

📘 Worked solution
A direction vector, since r=r₀+td requires a point r₀ and a direction d to describe every point on the line as t varies.

And one from the hard end

"Find the vector, parametric, and symmetric equations for a 3D line through A(2,−1,3) and B(5,2,−1)."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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