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1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2). 2) Parametric equations of the line passing through the point P(2,1, -3) and parallel to the vector v = 2i+j-k. 3) Parametric equations of the line passing through the points P (2,-2,3) and Q(2,1, -2).

1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2). 2) Parametric equations of the line passing through the point P(2,1, -3) and parallel to the vector v = 2i+j-k. 3) Parametric equations of the line passing through the points P (2,-2,3) and Q(2,1, -2).

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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Q3. Find the following: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,−1,3), and R(4,1,2). 2) Parametric equations of the line passing through the point P(2,1, -3) and parallel to the 2i + j - k. vector V = 3) Parametric equations of the line passing through the points P(2,-2,3) and Q(2,1, -2). 4) An equation of the of the plane passing through the point P(1,0, -2) normal to the vector n = (2, -3,1). 5) An equation of the of the plane passing through the points P(0,2,1), Q(2,1,2), and R(3,3,1). 6) The distance from the point S(2, -3,1) to the line L: x = 1 -t, y = 2 + 3t, z = 5 + 2t. 7) The distance from the point S(1,0,-2) to the plane 2x − 3y + z = 12. 8) The point of intersection of the line L: x = 1 + t, y = 2 - 3t, z = 5 + 2t and the plane 2x + y - 3z = 3. 9) The line of intersection of the two planes 2x + y -z = 1 and x - y + 3z = 2. 10) The angle between the planes 2x + 3y - z = 9 and x + 5y + 3z = 2.
Transcribed Image Text:Q3. Find the following: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,−1,3), and R(4,1,2). 2) Parametric equations of the line passing through the point P(2,1, -3) and parallel to the 2i + j - k. vector V = 3) Parametric equations of the line passing through the points P(2,-2,3) and Q(2,1, -2). 4) An equation of the of the plane passing through the point P(1,0, -2) normal to the vector n = (2, -3,1). 5) An equation of the of the plane passing through the points P(0,2,1), Q(2,1,2), and R(3,3,1). 6) The distance from the point S(2, -3,1) to the line L: x = 1 -t, y = 2 + 3t, z = 5 + 2t. 7) The distance from the point S(1,0,-2) to the plane 2x − 3y + z = 12. 8) The point of intersection of the line L: x = 1 + t, y = 2 - 3t, z = 5 + 2t and the plane 2x + y - 3z = 3. 9) The line of intersection of the two planes 2x + y -z = 1 and x - y + 3z = 2. 10) The angle between the planes 2x + 3y - z = 9 and x + 5y + 3z = 2.
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