Pls help me answer #4 c-e. Thank you very much! Problem: 5 coordinates are given: A(-1, 4, 5), B(2, -1, -2), C(-6, -8, 3) in RCS; D(5, t, -12) in CCS; and E(8,T/3, 3t/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, 0C, zC)b. Coordinate C to SCS: C→ C(rC, OC, C)c. Coordinate D to RCS: D → D(xD, yD, zD)d. Coordinate D to SCS: D → D(rD, 0D, ØD)e. Coordinate E to RCS: E → E(xE, yE, zE)f. Coordinate E to CCS: E → E(pE, þE, zE)2. Find the following vectors between two points and find the distance between the two points:a. Vector directed from C to D. Label it as: RCD = R×CD + RYCD + RZCD in RCSb. Vector directed from D to E. Label it as: RDE = RPDE + RODE + RZDE in CCSc. Vector directed from E to C. Label it as: REC = RREC + ROEC + R¢EC in SCS3. Find the following unit vectors:a. aCD in RCSb. aDE in CCSC. aEC in SCS4. Find the following:a. From the previous number, convert vector REC SCS to CCSb. The angle between segments AC and ABc. The vector projection of the vector directed from A to B, to vector directed from O to Cd. The area of the triangle defined by points A, B, and Oe. The unit vector perpendicular to the plane in which the triangle in (d.) is locatedf. The volume of a parallelepiped if coordinates A, B, C, and O are its corners.g. If vector REC is going to be transferred from point E to A, determine REC as a function of its newcomponents in SCS.h. If the tail of vector REC is at A as in (g.), determine the coordinate of its head in RCS

A-1,4,5 ; B2,-1,2; C-6,-8,3; O0,0,0AB→ = B-A = 2--1i^ + -1-4j^ + 2-5k^ = 3i^-5j^ -3k^ 1OC→…

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, 3T/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, þC, zC) b. Coordinate C to SCS: C → C(rC, OC, 0C) c. Coordinate D to RCS: D→ D(xD, yD, zD) d. Coordinate D to SCS: D D(rD, OD, ØD) e. Coordinate E to RCS: E → E(xE, yE, zE) f. Coordinate E to CCS: E → E(pE, þE, zE) 2. Find the following vectors between two points and find the distance between the two points: a. Vector directed from C to D. Label it as: RCD = RXCD + RYCD + RZCD in RCS b. Vector directed from D to E. Label it as: RDE = RPDE + RODE + RZDE in CCS c. Vector directed from E to C. Label it as: REC = RREC + ROEC + RØEC in SCS 3. Find the following unit vectors: a. aCD in RCS b. aDE in CCS C. aEC in SCS 4. Find the following: a. From the previous number, convert vector REC SCS to CCS b. The angle between segments AC and AB c. The vector projection of the vector directed from A to B, to vector directed from O to C d. The area of the triangle defined by points A, B, and O e. The unit vector perpendicular to the plane in which the triangle in (d.) is located f. The volume of a parallelepiped if coordinates A, B, C, and O are its corners. g. If vector REC is going to be transferred from point E to A, determine REC as a function of its new components in SCS. h. If the tail of vector REC is at A as in (g.), determine the coordinate of its head in RCS

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT