Calculus & Vectors (MCV4U) · Lines Planes 3D

Intersections of Lines and 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-LP3.3

Sample: the first question, solved

Two lines have direction vectors (2,3) and (4,6). What is true about them?

📘 Worked solution
(4,6)=2×(2,3), so the direction vectors are scalar multiples - the lines are parallel.

And one from the hard end

"Find the angle between r=(1,2)+t(3,4) and r=(0,1)+s(1,−2), using their direction vectors."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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