Determine whether the planes a₁x + b₁y + c₁z = ₁ and 2x + ₂y + z = d₂ are parallel, perpendicular, or neithe ₁₂+₁₂+₁₂ = 0. 6x + y - 5z = 4, -42x - 7y + 35z = 5 Step 1 Compare the given equations with the equations then ₁x + ₁ + ₁ = ₁ and ax + b₂y + c₂z = d₂ ₁ = 6, ₁ = 1, ₁ = Step 2 Observe the following. 3₂ = -42 -7 ✓ )(6) 1x³₁ Enter an exact number. 32 = -42, b₂ = 7✔ D , and c₂ = 35✔ 35

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Tutorial Exercise
Determine whether the planes a₁x + b₁y + c₁z =d₁ and a₂x + b₂y + c₂z = d₂ are parallel, perpendicular, or neither. The
a1a2+ b₁b₂+ C₁ C₂ = 0.
6x + y - 5z = 4, -42x - 7y + 35z = 5
Step 1
Compare the given equations with the equations
then
a₁x + b₁y + c₁z = d₁ and ax + b₂y + c₂z = d₂.
₁ = 6, b₁ = 1, C₁ = -5✔
Step 2
Observe the following.
32 = -42
)(6)
1x)³₁
Enter an exact number.
Submit Skip (you cannot come back)
32 = -42, b₂ = 7✔
k
F
and c₂ = 35✔
35
Transcribed Image Text:Tutorial Exercise Determine whether the planes a₁x + b₁y + c₁z =d₁ and a₂x + b₂y + c₂z = d₂ are parallel, perpendicular, or neither. The a1a2+ b₁b₂+ C₁ C₂ = 0. 6x + y - 5z = 4, -42x - 7y + 35z = 5 Step 1 Compare the given equations with the equations then a₁x + b₁y + c₁z = d₁ and ax + b₂y + c₂z = d₂. ₁ = 6, b₁ = 1, C₁ = -5✔ Step 2 Observe the following. 32 = -42 )(6) 1x)³₁ Enter an exact number. Submit Skip (you cannot come back) 32 = -42, b₂ = 7✔ k F and c₂ = 35✔ 35
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