Problem: 5 coordinates are given: A(-1, 4, 5), B(2, -1, -2), C(-6, -8, 3) in RCS; D(5, n, -12) in CCS; and E(8, t/3, 3n/2) in SCS. Let point O be the origin. Do the following: 1. Convert the following coordinates given below: a. Coordinate C to CCS: C → C(pc, pc, zc) b. Coordinate C to SCS: C → c. Coordinate D to RCS: D → D(XD, YD, ZD) d. Coordinate D to SCS: D → D(ro, Oo, po) e. Coordinate E to RCS: E → E(XE, YE, Ze) f. Coordinate E to CCS: E → E(pe, de, ze) ans: (10, –126.87,3) → ans: (10.440, 73.30, –126.87) - ans: (-5,0, 12) - ans: (13, 157.38, 180) → ans: (0, –6.928,4) → ans: (6.928, –90, 4) C(rc, Oc, ̟c) 2. Find the following vectors between two points: a. Vector directed from C to D. Label it as: RcD = Rxco + Ryco + Rzco in RCS → ans: < 1,8, –15 > b. Vector directed from D to E. Label it as: RDE = RPDE + RộDE + RZDE in CCS → ans: < -5, 6.928, 16 > c. Vector directed from E to C. Label it as: Rec = Rrec + Roec + Rec in SCs ans: < 0.428, 1.402, –6 >
Problem: 5 coordinates are given: A(-1, 4, 5), B(2, -1, -2), C(-6, -8, 3) in RCS; D(5, n, -12) in CCS; and E(8, t/3, 3n/2) in SCS. Let point O be the origin. Do the following: 1. Convert the following coordinates given below: a. Coordinate C to CCS: C → C(pc, pc, zc) b. Coordinate C to SCS: C → c. Coordinate D to RCS: D → D(XD, YD, ZD) d. Coordinate D to SCS: D → D(ro, Oo, po) e. Coordinate E to RCS: E → E(XE, YE, Ze) f. Coordinate E to CCS: E → E(pe, de, ze) ans: (10, –126.87,3) → ans: (10.440, 73.30, –126.87) - ans: (-5,0, 12) - ans: (13, 157.38, 180) → ans: (0, –6.928,4) → ans: (6.928, –90, 4) C(rc, Oc, ̟c) 2. Find the following vectors between two points: a. Vector directed from C to D. Label it as: RcD = Rxco + Ryco + Rzco in RCS → ans: < 1,8, –15 > b. Vector directed from D to E. Label it as: RDE = RPDE + RộDE + RZDE in CCS → ans: < -5, 6.928, 16 > c. Vector directed from E to C. Label it as: Rec = Rrec + Roec + Rec in SCs ans: < 0.428, 1.402, –6 >
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
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