Calculus & Vectors (MCV4U) · Lines Planes 3D

Vector and Parametric Equations of Lines

10 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest — every one with a full worked solution. Work through them free, no account needed.

Start the 10 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

Convert r=(1,2)+t(3,−1) into parametric equations.

Solution shown after you try it in practice mode.

Work through all 10, easiest to hardest

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