Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §11.1 Vectors and Dot Products, #17 · Multivariable Calculus · Vectors & geometry

Describe all points … such that … satisfies (a) … \hspace{1cm} (b)…

Describe all points $(x, y)$ such that $v = x i + y j$ satisfies
(a) $∣ v ∣ = 2$ \hspace{1cm} (b) $∣ v - i ∣ = 2$
(c) $v \cdot i = 2$ \hspace{1cm} (d) $v \cdot i = ∣ v ∣$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §11.1 Vectors and Dot Products, #17

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