assig2

# assig2 - x-2 y 3 z = 1(a What is the normal direction to...

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

Math 152, Spring 2010 Assignment #2 Notes: Each question is worth 5 marks. Due in class: Monday, January 18 for MWF sections; Tuesday, January 19 for TTh sections. Solutions will be posted Tuesday, January 19 in the afternoon. No late assignments will be accepted. 1. Use the deﬁnition to ﬁnd the determinant of the matrix 2 2 2 1 2 3 3 0 - 3 . Do the computation by hand showing your work, but you can check your result using MATLAB. From your result, decide if the vectors [2 2 2], [1 2 3] and [3 0 -3] lie in the same plane (justify your answer, very brieﬂy). 2. Consider the plane
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x-2 y + 3 z = 1. (a) What is the normal direction to the plane? (b) Find the coordinates of any point (your choice) on the plane. 3. Find the intersection point of the line with parametric form below (1 , , 1) + t (1 , 2 , 3) and the plane x + 2 y-3 z = 5 . 4. The planes x + 2 y-3 z = 2 and x-2 y + 3 z = 7 intersect in a line. Find a parametric representation of this line. 5. Consider the plane P deﬁned by x-2 y + 3 z = 1. (a) Show that the point (1,2,3) is not on the plane P . (b) Find the point on P that is the closest to (1,2,3)....
View Full Document

## This note was uploaded on 03/30/2011 for the course MATH 152 taught by Professor Caddmen during the Spring '08 term at UBC.

Ask a homework question - tutors are online