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1.17 Points P, Q, and R are located at (-1, 4, 8), (2, – 1, 3), and (-1, 2, 3), respectively. Determine (a) the distance between P and Q, (b) the distance vector from P to R, (c) the angle between QP and QR, (d) the area of triangle PQR, (e) the perimeter of triangle PQR. 1.18 Two points P(2, 4, – 1) and Q(12, 16, 9) form a straight line. Calculate the time taken for a sonar signal traveling at 300 m/s to get from the origin to the midpoint of PQ. 1.19 Find the area of the parallelogram formed by the vectors D = 4a, + a, + 5a, and

1.17 Points P, Q, and R are located at (-1, 4, 8), (2, – 1, 3), and (-1, 2, 3), respectively. Determine (a) the distance between P and Q, (b) the distance vector from P to R, (c) the angle between QP and QR, (d) the area of triangle PQR, (e) the perimeter of triangle PQR. 1.18 Two points P(2, 4, – 1) and Q(12, 16, 9) form a straight line. Calculate the time taken for a sonar signal traveling at 300 m/s to get from the origin to the midpoint of PQ. 1.19 Find the area of the parallelogram formed by the vectors D = 4a, + a, + 5a, and

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1.17 Points P, Q, and R are located at (-1, 4, 8), (2, – 1, 3), and (-1, 2, 3), respectively. Determine (a) the distance between P and Q, (b) the distance vector from P to R, (c) the angle between QP and QR, (d) the area of triangle PQR, (e) the perimeter of triangle PQR. 1.18 Two points P(2, 4, – 1) and Q(12, 16, 9) form a straight line. Calculate the time taken for a sonar signal traveling at 300 m/s to get from the origin to the midpoint of PQ. 1.19 Find the area of the parallelogram formed by the vectors D = 4a, + a, + 5a, and
Transcribed Image Text:1.17 Points P, Q, and R are located at (-1, 4, 8), (2, – 1, 3), and (-1, 2, 3), respectively. Determine (a) the distance between P and Q, (b) the distance vector from P to R, (c) the angle between QP and QR, (d) the area of triangle PQR, (e) the perimeter of triangle PQR. 1.18 Two points P(2, 4, – 1) and Q(12, 16, 9) form a straight line. Calculate the time taken for a sonar signal traveling at 300 m/s to get from the origin to the midpoint of PQ. 1.19 Find the area of the parallelogram formed by the vectors D = 4a, + a, + 5a, and
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