This preview shows page 1. Sign up to view the full content.
Unformatted text preview: 10. Find a unit vector perpendicular to the plane x + 2 y + 2 z = 10 11. Find the direction numbers of the line of intersection of the planes x + y + z = 1 and x + z = 0. 12. Find a vector equation and parametric equations for the line through the points (1, 0, 3) and (2, 1, 1). 13. Find an equation for the plane through the points (1, 2, 0), (2, 0, 1) and (5, 3, 1). 14. Find the point(s) of intersection of the line t z t y t x 4 , 1 , 1 = = = and the surface 2 2 2 y x z + = . 15. Show that the planes x + y z =1 and 2 x 3 y +4 z =5 are neither parallel nor perpendicular. 16. Identify the trace of the surface 2 2 z y x + = in the plane x = 1. 17. Prove that ( a b ) x ( a + b ) = 2( a x b) ....
View
Full
Document
This note was uploaded on 01/22/2011 for the course PHYS 4A 60865 taught by Professor L. oldewurtel during the Fall '09 term at Irvine Valley College.
 Fall '09
 L. OLDEWURTEL

Click to edit the document details