Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §11.2 Planes and Projections, #14 · Multivariable Calculus · Vectors & geometry

The equation … yields a hyperplane in four dimensions

The equation $3 x + 4 y + 7 z - t = 0$ yields a hyperplane in four dimensions. Find its normal vector $N$ and two points $P, Q$ on the hyperplane. Check $(P - Q) \cdot N = 0$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §11.2 Planes and Projections, #14

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