pract_mt_1

Pract_mt_1 - Weds Jan 30 2008 Page 1/9 MATH 32A FIRST MIDTERM EXAMINATION Winter 2008 1 Weds Jan 30 2008 Page 2/9 1(20 points Find a vector valued

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Weds Jan. 30, 2008 Page 1/9 MATH 32A: FIRST MIDTERM EXAMINATION Winter 2008 1 Weds Jan. 30, 2008 Page 2/9 1. (20 points) Find a vector valued function that represents the curve of inter- section of the cylinder x 2 + y 2 = 16 and the plane x + z = 5. Graph the curve and label the orientation corresponding to your parametrization. 2 Weds Jan. 30, 2008 Page 3/9 2. (20 points) Let P1: x + y- z = 1 and P2: 2 x- 3 y +4 z = 5 be 2 planes in R 3 . (a) Show that the planes are neither parallel nor perpendicular. (b) Find the equation of the line where the planes intersect. (c) Find the angle between the two planes. (You may use the back of this sheet if additional space is needed.) 3 Weds Jan. 30, 2008 Page 4/9 3. (20 points) Let C be the curve defined by the parametric equations r ( t ) = < t 2 , 2 t 3 / 2 , 3 t 4 / 3 > . (a) Use vector calculus to verify that x = 1 + 2 t,y = 2 + 3 t,z = 3 + 4 t are the parametric equations to the tangent line L of C at the point (1 , 2 , 3) (e.g. when t = 1).= 1)....
View Full Document

This note was uploaded on 05/15/2008 for the course MATH 32A taught by Professor Gangliu during the Spring '08 term at UCLA.

Page1 / 7

Pract_mt_1 - Weds Jan 30 2008 Page 1/9 MATH 32A FIRST MIDTERM EXAMINATION Winter 2008 1 Weds Jan 30 2008 Page 2/9 1(20 points Find a vector valued

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online