{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

00aut-m1

# 00aut-m1 - MATH 51 MIDTERM 1 Levandosky 11 15 11:00 1:15...

This preview shows pages 1–3. Sign up to view the full content.

MATH 51 MIDTERM 1 October 19, 2000 Brumfiel Hutchings Levandosky Staffilani White 11:00 01 05 09 13 17 1:15 03 07 11 15 19 Name: Student ID: Signature: Instructions: Print your name and student ID number and write your signature to indicate that you accept the honor code. Circle the number of the section for which you are registered on Infopier. During the test, you may not use notes, books, or calculators. Read each question carefully, and show all your work. Put a box around your final answer to each question. Each of the ten problems is worth 10 points. You have 90 minutes to do all the problems. Question Score 1 2 3 4 5 6 7 8 9 10 Total 1. Find all solutions of the following system: x 1 + x 2 + x 4 = 7 x 1 + x 2 + x 3 + x 4 = 10 x 1 + x 3 + x 4 = 9 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2. Let L be the intersection of the two planes x + 2 y + 3 z = 10 and 4 x + 5 y + 6 z = 28 . Find a parametric equation for L . 3. (a) Suppose u and v are vectors in R n such that u + v and u - v are orthogonal (i.e., perpendicular) to each other. Show that k u k = k v k .
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern