EasyCurves in space

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §12.1 The Position Vector, #15 · Multivariable Calculus · Curves in space

(a) How far apart are the two parallel lines … and

(a) How far apart are the two parallel lines $x = y$ and $x = y + 1$ ? (b) How far is the point $x = t, y = t$ from the point $x = t, y = t + 1$ ? (c) What is the closest distance if their speeds are different: $x = t, y = t$ and $x = 2 t, y = 2 t + 1$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §12.1 The Position Vector, #15

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