Question: Determine whether the planes a 1 x + b 1 y + c 1 z = d 1 and a 2 x + b 2

Determine whether the planes

a1x + b1y + c1z = d1 and a2x + b2y + c2z = d2

are parallel, perpendicular, or neither. The planes are parallel if there exists a nonzero constant k such that

a1 = ka2,

b1 = kb2,

and

c1 = kc2,

and are perpendicular when

a1a2 + b1b2 + c1c2 = 0.

5x + y 3z = 3, 30x 6y + 18z = 8

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

1. A department in a company should be dropped if: A. lost contribution margin is more than eliminated fixed expenses B. lost contribution margin is less than eliminated fixed expenses C. lost sales...

Q:

Three students are asked to evaluate Z 1 5 x dx and give the responses below. Morgan states that Z 1 x dx = ln | x | + C , so Z 1 5 x dx = ln | 5 x | + C Avery states that Z 1 x dx = ln | x | + C ,...

Q:

Given the net cash flows for Project X (over 3-years) for Aberdeen Company Year CF 0-$300,000 1 $120,000 2 5128,000 3 $155,000 The company's capital structure is distributed equally between debt,...

Q:

11 (5 pts) The cash flows for three different alternatives are given in table below. If MARR is set at 8%, determine which is the best alternative? Data Alt. X Alt. Y Alt. Z 9,000 12,500 7,500...

Q:

Given the net cash flows for Project X (over 3-years) for Aberdeen Company Year CF 0-$300,000 1 $120,000 2 $128,000 3 $155,000 The company's capital structure is distributed equally between debt,...

Q:

Given the net cash flows for Project X (over 3-years) for Aberdeen Company Year CF 0-$300,000 1 $120,000 2 $128,000 3 $155,000 The company's capital structure is distributed equally between debt,...

Q:

Practice Problems Problem 1 (2 questions) You have just finished a very long and stressful meeting discussing the scoring of three projects as show in the table below. Each criteria have been ranked...

Q:

MULTIPLE CHOICES os the market exceeds the earning per share. s used to calculate the number of times the price being paid for on the market exceeds the dividend per share. The P/E ratio is a measure...

Q:

[IN PYTHON] I can't figure out how to go over multiple files at once to do this. We are recreating simple versions of unix tools and paste() is one. I need to iterate over 1 to many files so it can't...

Q:

Test Section A (10 MCQ x 1 mark = 10 marks) Leaders may be differentiated from managers by the fact that they do not rely .. in the organisation. Which of the following types of power correctly...

Q:

We want to produce 10 lbs of a continuous unidirectional fiber-reinforced composite of HS carbon in a polyimide matrix that has a modulus of elasticity of at least 25 106 psi parallel to the fibers....

Q:

What is the difference between dominant and recessive traits?

Q:

CBC Theater sells tickets for dinner and a show for $ 5 5 each. The cost of providing dinner is $ 4 0 per ticket and the fixed cost of operating the theater is $ 1 0 0 , 0 0 0 per month. The company...

Q:

1. Appraise the significance of ethics in the business context. Provide THREE (3) justifications. 2. Evaluate the increasing significance of the issue of privacy in the global era. [TOTAL 15 MARKS ]...

Q:

9. What is meant by the statement, the context is only relevant to us if we understand what it is trying to say?

Q:

7. What does it mean when we say that the words we use to denote a situation set limits on the solutions we can create at a later point?

Q:

8. Give examples from your own everyday life that the reference point you use has significance for the actions you take.