Distance Problems (Point to Line, Point to Plane)
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.
Sample: the first question, solved
Which formula gives the distance from a point (x₁,y₁,z₁) to the plane Ax+By+Cz+D=0?
📘 Worked solution
✓The distance formula divides the absolute value of the plane expression evaluated at the point by the magnitude of the normal vector: d=|Ax₁+By₁+Cz₁+D|/√(A²+B²+C²).
And one from the hard end
"Find the distance from (1,2,3) to the line r=(0,0,0)+t(1,1,1), using d=|PQ×v|/|v|."
Solution shown after you try it in practice mode.
Work through all 30, easiest to hardest
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