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;
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;
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section: Chapter Questions
Problem 11PTTS
Related questions
Question
![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;](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9aa6e0be-9d99-4d98-9739-c7b7f8e499f3%2F368cbadd-cd4a-4d87-bc6b-6dc44164ac9f%2Fkk33bc_processed.png&w=3840&q=75)
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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