EasyCurves in space

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §12.1 The Position Vector, #16 · Multivariable Calculus · Curves in space

(a) … (b) … (c) … (d)

Which vectors follow the same path as $R = t i + t^{2} j$ ? The speed along the path may be different.

(a) $2 t i + 2 t^{2} j$ (b) $2 t i + 4 t^{2} j$ (c) $- t i + t^{2} j$ (d) $t^{3} i + t^{6} j$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §12.1 The Position Vector, #16

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