midrev1key

# midrev1key - + 4 y + 9 z = 0. (6)The orthogonal projection...

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

MAC 2313 SECTION 3117 REVIEW FOR MIDTERM 1 (KEY) True/False: (a) True; (b) False; (c) False; (d) False; (e) True; (f) True. (1) The distance is d = 2. The lines are skew. (2) The plane is given by - 3 x + y + 4 z + 3 = 0. The distance from D = (4 , 4 , 4) to this plane is d = 11 26 . (3) The tangent line is given by r = (1 , 1 , 1) + t (1 , 2 , 3). The distance from this line to the origin is d = q 3 7 . (4) The surface is an ellipsoid given by x 2 4 / 3 + ( y + 5 / 3) 2 16 / 9 + z 2 4 / 3 = 1 . (5) The plane is - 5 x
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: + 4 y + 9 z = 0. (6)The orthogonal projection is (-2 / 3 , 1 / 3 , 4 / 3). The plane p 1 is given by x + y + z = 6. The distance between p and p 1 is d = 5 3 . (7) The distance is d = 1 2 . (8) The distance is d = 5 3-3 3 . (9) The surface is a plane. In Cartesian coordinates, it is given by z = 3 x . In cylindrical coordinates, it is given by z = 3 r cos ....
View Full Document

## This note was uploaded on 03/20/2012 for the course MAC 2313 taught by Professor Keeran during the Fall '08 term at University of Florida.

Ask a homework question - tutors are online