Question: Referring to Exercise 21, show that two nonzero vectors, v1 and v2, in 3-space are perpendicular if and only if their direction cosines satisfy cos

Referring to Exercise 21, show that two nonzero vectors, v1 and v2, in 3-space are perpendicular if and only if their direction cosines satisfy
cos α1 cos α2 + cos β1 cos β2 + cos γ1 cos γ2 = 0

Step by Step Solution

★★★★★

3.39 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

By the results of Exercise 21 we have that if v ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

938-M-L-A-E (1167).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Referring to Exercise 8.21 (page 307), regard the sample of five trial runs (which has standard deviation 19.65) as a preliminary sample. Determine the number of trial runs of the chemical process...

Referring to Exercise 10.51, denote by p1 and p2 the population proportions in the two groups who have In Exercise 10.51 Random samples of 250 persons in the 30- to 40-year age group and 250 persons...

Referring to Exercise 76, suppose an investigator wishes to test H0: 2 = .04 versus Ha: 2

Chapter Thirteen A FUNDAMENTAL TOOL: VECTORS Contents 13.1 Displacement Vectors . . . . . . . . . . . . 686 Notation and Terminology . . . . . . 686 Addition and Subtraction of Displacement Vectors ....

Can you please help me with number 12 and number 15. I have provided the math chapter it came from and the answer from the back of the book: Thank you so much and Best wishes! 5.7 Matrix Exponentials...

Can you please help me with number 31. I have provided the math chapter it came from and the answer from the back of the book: Thank you so much and Best wishes! 5.7 Matrix Exponentials and Linear...

Can you please help me with number 21. I have provided the math chapter it came from and the answer from the back of the book: Thank you so much and Best wishes! Open with Chapter 5 Linear Systems...

Can you please help me with number 15. I have provided the math chapter it came from and the answer from the back of the book: Thank you so much and Best wishes! Linear Systems quations 406 The...

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

What is Exercise 32-45? I don't quite understand it, so I'm not sure if my work or answers are correct. Linear Algebra Lab Exercises Linear algebra deals with vectors and linear functions that act on...

As of year-end, a 20,000 90-day 10% note received from a customer on June 10, 2015 was still on hand. No interest has yet been recorded on this note. 2. The company's Notes Payable balance includes a...

3- If someone weighs 88.6kg and has 18% body fat, how much fat mass do they have in pounds? Round to the nearest full pound. If they want to maintain their overall weight but be at 15% body fat, how...

uestion 1 Next Quest Write an exponential function in the form y = ab ^ ( x ) that goes through the points ( 0 , 9 ) and ( 2 , 2 2 5 ) . Answer Submit Answer

PMOs are only for supply-side business units. True or false?

Prove Theorem 6:

Suppose Ax = b has a solution. Explain why the solution is unique precisely when Ax = 0 has only the trivial solution.

In Exercises 1-2, (a) does the equation Ax = 0 have a nontrivial solution and (b) does the equation Ax = b have at least one solution for every possible b? 1. A is a 3 ( 3 matrix with three pivot...

Problem 11-8 Calculating Expected Returns [LO 1] A portfolio is invested 29 percent in Stock G, 44 percent in Stock J, and 27 percent in Stock K. The expected returns on these stocks are 10.5...

At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 16 computer...

I need help with this homework question A store manager wanted to know if there was any relationship of sales dollars to shelf space allocated . In a random sample of 12 different layouts resulting...