test20cszypowl

test20cszypowl - Mathematics 20C Spring 2009 Test 1 Name:...

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: Mathematics 20C Spring 2009 Test 1 Name: Section: ID: Be sure to show all work. Answers without full justification are worth no credit. Remember that you can often check your answers. You may use a single page of notes, but no other aids are allowed. This test consists of 4 questions. Each question is worth a total of 5 points. 1 /5 2 /5 3 /5 4 /5 ∑ /20 1) Let u = ( 2 , 1 , 3 ) and v = (− 1 , s, 2 ) where s is some real number. (2 points) (a) Find what value s must be for u and v to be orthogonal. In order for u and v to be orthogonal, it must be that u · v = 0. This becomes − 2 + s + 6 = 0 or simply s = − 4. (3 points) (b) Using the value for s you found above, find a third vector w negationslash = 0 which is orthogonal to both u and v . In order to find w which is orthogonal to both u and v , we can compute w = u × v = det i j k 2 1 3 − 1 − 4 2 = (2 + 12) i − (4 + 3) j + ( − 8 + 1) k = ( 14 , − 7 , − 7 ) . 2) Let l ( t ) be the line through the points (...
View Full Document

This note was uploaded on 10/29/2009 for the course MATH Math 20C taught by Professor Lunasin during the Spring '08 term at UCSD.

Page1 / 5

test20cszypowl - Mathematics 20C Spring 2009 Test 1 Name:...

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