Let P = (1, -2,3); Q = (3,-2, 4); R = (2,-1,5) & S = (5,0,-2). Answer each of the following: (1) (ii) (iii) (iv) Use cross product to find the area of the triangle PQR; Find an equation of the plane containing the points P, Q & R; Find an equation of the line perpendicular to the lines PQ & RS and contains the point which divides the line segment QR in the ratio 2 : 3; Find the distance of the point R from the line PS;

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 22E: Use the result in Exercise 20 to find the equation of the line that contains 4, 5 and is parallel to...
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Let P = (1, −2, 3); Q = (3,−2,4); R = (2,−1,5) & S = (5,0,−2). Answer each
of the following:
(i)
(ii)
(iii)
(iv)
Use cross product to find the area of the triangle PQR;
Find an equation of the plane containing the points P, Q & R;
Find an equation of the line perpendicular to the lines PQ & RS and
contains the point which divides the line segment QR in the ratio 2 : 3;
Find the distance of the point R from the line PS;
Transcribed Image Text:Let P = (1, −2, 3); Q = (3,−2,4); R = (2,−1,5) & S = (5,0,−2). Answer each of the following: (i) (ii) (iii) (iv) Use cross product to find the area of the triangle PQR; Find an equation of the plane containing the points P, Q & R; Find an equation of the line perpendicular to the lines PQ & RS and contains the point which divides the line segment QR in the ratio 2 : 3; Find the distance of the point R from the line PS;
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