Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, b. 1879 · New York : H. Holt and Company · leaf 39
hortest dis-tance between them. Let A, ^, v be the direction cosines of theline on which the distance is measured. Since this line is per-pendicular to each of the given lines, we have, by Art. 5,Equations (4) and (5), AZ /* /i-lVo — V,/A2 V ±1 A1M2 ~ 1^1 A2 sin 6 where 6 is the angle betweenthe… … Arts. 23, 24] SYSTEM OF PLANES THROUGH A LINE 25 or d = ± sin 6 Hi —1/2 fJ-i H-2Zi — e, Il V2 EXERCISES 1. Find the distance from the oritiin to the line 1 (21) X- 1 _y-3_g-2 2 4 1 2. Find the distance from (1, 1, ]) to x + y + z = 0, Sx — 2y + 4z = 0. 3. Find tlie perpendicular distance from the…
Geometry, Analytic
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