Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §11.2 Planes and Projections, #41 · Multivariable Calculus · Vectors & geometry

Show by vectors that the distance from … to the line …

All points and vectors are in the $x y$ plane.

Show by vectors that the distance from $(x_{1}, y_{1})$ to the line $a x + b y = d$ is $∣ d - a x_{1} - b y_{1} ∣/ a^{2} + b^{2}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §11.2 Planes and Projections, #41

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