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

Info iconThis 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
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/07/2010 for the course MTH 555555 taught by Professor Xingruzhang during the Fall '10 term at SUNY Buffalo.

Ask a homework question - tutors are online