20esolns2

20esolns2 - 20E HW 2 Solutions January 22, 2008 1.3.24)...

Info iconThis preview shows pages 1–2. 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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 20E HW 2 Solutions January 22, 2008 1.3.24) Answer The plane goes through the point (2 ,- 1 , 3) and has normal vector 3 ,- 2 , 4 . Thus the equation to the plane is 3( x- 2)- 2( y + 1) + 4( z- 3) = 0 . 1.3.33) Answer D = | 12(1) + 13(1) + 5(- 5) + 2 | 12 2 + 13 2 + 5 2 = 2 338 = 2 13 1.4.1(a)) Answer Cylindrical Standard Spherical (1 , / 4 , 1) ( 2 / 2 , 2 / 2 , 1) ( 2 , / 4 , / 4) (2 , / 2 ,- 4) (0 , 2 ,- 4) (2 5 , / 2 , - cos- 1 (2 5 / 2)) (0 , / 4 , 10) (0 , , 10) (10 , / 4 , 0) (3 , / 6 , 4) , (3 3 / 2 , 3 / 2 , 4) (5 , / 6 , cos- 1 (4 / 5)) (1 , / 6 , 0) , ( 3 / 2 , 1 / 2 , 0) (1 , / 6 , / 2) (2 , 3 / 4 ,- 2) (- 2 , 2 ,- 2) (2 2 , 3 / 4 , 3 / 4) 1.4.2) Answer a. Reflects across the x- y plane. b. Reflects through the origin. c. Rotates clockwise around the z by / 4 , then reflects through the z-axis. (A perhaps easier answer is that it simply rotates counterclockwise by 3 / 4 ....
View Full Document

This note was uploaded on 04/07/2008 for the course MATH 20E taught by Professor Enright during the Fall '07 term at UCSD.

Page1 / 3

20esolns2 - 20E HW 2 Solutions January 22, 2008 1.3.24)...

This preview shows document pages 1 - 2. Sign up to view the full document.

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