yellowfinal.mc

yellowfinal.mc - yellow MULTIPLE CHOICE QUESTIONS ENTER ALL...

Info iconThis preview shows pages 1–4. 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: yellow MULTIPLE CHOICE QUESTIONS ENTER ALL ANSWERS ON YOUR SCANTRON FORM 882-ES (in pencil) If you change any answers on the scantron form, please make sure to erase completely and leave no smudges. 1 2 PROBLEM 1 (10 Points) The angle between two non-parallel planes is, by definition, the angle between their normal vectors. Calculate the angle between the planes 3 x + 2 y z = 2 , x + 3 y + 2 z = 5 (A) 0 (B) 3 (C) 4 (D) 6 (E) 2 PROBLEM 2 (10 Points) Compute the volume V of the parallelepiped spanned by the vectors u = ( 2 , 1 , ) , v = ( , , 3 ) , w = ( , 1 , 1 ) , (A) 0 (B) 3 (C) 4 (D) 6 (E) 9 3 PROBLEM 3 (10 Points) Compute the directional derivative of f ( x,y,z ) = xyz 2 at P = (3 , 2 , 1) in the direction of the vector i + k . (A) 157 (B) 14 2 (C) 14 (D) 14 2 (E) 157 2 PROBLEM 4 (10 Points) If the gradient vector of f ( x,y,z ) at a point P is f P = ( 2 , 3 , 3 ) , then the maximum value among the directional derivatives D e f ( P ) is (A) 0 (B) 16 (C) 4 (D) 9 (E) 13 4...
View Full Document

This note was uploaded on 08/19/2009 for the course MATH 32A taught by Professor Gangliu during the Spring '08 term at UCLA.

Page1 / 6

yellowfinal.mc - yellow MULTIPLE CHOICE QUESTIONS ENTER ALL...

This preview shows document pages 1 - 4. Sign up to view the full document.

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