1. - A plane pass through the origin and has the direction vectors [6, — 7, 1] and [1, 1, 2]. Find a scalar equation of the plane. a) 6x c) 13x - 7y + z = 0 15y - 11z = 0 Work: b) x + y + 2z = 0 d) — 15x - 11y + 13z = 0 2. A line passes through the points A(-2,3) and B(-7,1). Find a vector equation of the line. . Work: a) [x, y] = [5,2] + t[− 2,3] c) [x, y] = [2,3] + t[− 7,1] - b) [x, y] = [ 7,1] + t[− 5, − 2] d) [x, y] = [5,2] + t[- 9,4]
1. - A plane pass through the origin and has the direction vectors [6, — 7, 1] and [1, 1, 2]. Find a scalar equation of the plane. a) 6x c) 13x - 7y + z = 0 15y - 11z = 0 Work: b) x + y + 2z = 0 d) — 15x - 11y + 13z = 0 2. A line passes through the points A(-2,3) and B(-7,1). Find a vector equation of the line. . Work: a) [x, y] = [5,2] + t[− 2,3] c) [x, y] = [2,3] + t[− 7,1] - b) [x, y] = [ 7,1] + t[− 5, − 2] d) [x, y] = [5,2] + t[- 9,4]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
Question
PLS HELP ON ALL ASKED QUESTIONS PLS
![1.
-
A plane pass through the origin and has the direction vectors [6, — 7, 1] and [1, 1, 2]. Find a scalar
equation of the plane.
a) 6x
c) 13x
-
7y + z = 0
15y - 11z
= 0
Work:
b) x + y + 2z = 0
d) — 15x
-
11y + 13z = 0
2. A line passes through the points A(-2,3) and B(-7,1). Find a vector equation of the line. .
Work:
a) [x, y] = [5,2] + t[− 2,3]
c) [x, y] = [2,3] + t[− 7,1]
-
b) [x, y] = [ 7,1] + t[− 5, − 2]
d) [x, y] = [5,2] + t[- 9,4]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff65858d4-3160-46a5-aee0-d9913d81cec5%2F9a3e225f-a39b-4518-97f6-9177e4fd48c8%2Fa2ib4dg_processed.png&w=3840&q=75)
Transcribed Image Text:1.
-
A plane pass through the origin and has the direction vectors [6, — 7, 1] and [1, 1, 2]. Find a scalar
equation of the plane.
a) 6x
c) 13x
-
7y + z = 0
15y - 11z
= 0
Work:
b) x + y + 2z = 0
d) — 15x
-
11y + 13z = 0
2. A line passes through the points A(-2,3) and B(-7,1). Find a vector equation of the line. .
Work:
a) [x, y] = [5,2] + t[− 2,3]
c) [x, y] = [2,3] + t[− 7,1]
-
b) [x, y] = [ 7,1] + t[− 5, − 2]
d) [x, y] = [5,2] + t[- 9,4]
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