Exam 1 Review - Exam 1 will be given on Thursday Sept 30th...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Exam 1 will be given on Thursday, Sept 30th, covering sections 12.1–12.5, 13.1-13.4. No make- up exam will be given unless you have an absolutely valid excuse. In the exam, show all your work and explain what you are doing. Answers will be graded on the accuracy and clarity of the work shown. 1. Review the relevant homework assignments. 2. Review all examples given in my lectures. 3. Let ~a = (6 , 2 , 3), ~ b = ( - 1 , 5 , 2) and ~ c = (1 , 0 , 1). Find (1) ~a + 3 ~ b - 2 ~ c ; (2) ~a · ~ b ; (3) ~a × ~ b ; (4) | ~ c | ; (5) Proj ~ c ~ b ; (6) the area of the parallelogram determined by ~a and ~ b . (7) the volume of the parallelepiped determined by ~a , ~ b and ~ c . 4. Find a parametric equation for the line through the points (3 , 1 , - 1) and (3 , 2 , - 6). 5. Find an equation for the plane through the points (3 , 1 , - 1), (3 , 2 , - 6) and (1 , 1 , 0). 6. Find an equation for the plane that passes the point (1 , 1 , - 1) and perpendicular to the line x = 2 t + 1 , y = 3 t - 2 , z = - 4 t + 1. 7. Find an equation for the plane consisting all points that are equidistant from the points (3 , 1 , - 1) and (3 , 2 , - 6). 8. Find parametric equations for the line of intersection of the planes 2 x + 5 z + 3 = 0 and x - 3 y + z + 2 = 0. 9. Find the distance between the point (3
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern