MediumVectors & geometry

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §11.1 Vectors and Dot Products, #35 · Multivariable Calculus · Vectors & geometry

(c) Extra credit: Estimate … in your present position

The vector from the earth's center to Seattle is $a i + b j + c k$ .

(a) Along the circle at the latitude of Seattle, what two functions of $a, b, c$ stay constant? $k$ goes to the North Pole.

(b) On the circle at the longitude of Seattle—the meridian— what two functions of $a, b, c$ stay constant?

(c) Extra credit: Estimate $a, b, c$ in your present position. The $0^{\circ}$ meridian through Greenwich has $b = 0$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §11.1 Vectors and Dot Products, #35

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