exam1Solutions

exam1Solutions - Name Math 211A Fall 2005 Exam 1 Honor Code...

This preview shows pages 1–3. Sign up to view the full content.

Name: Math 211A Fall 2005 Exam # 1 Honor Code Write and sign the honor code here after you have ﬁnished the quiz. There will be no calculators allowed during the exam. You may use a 3x5 inch note card. Use full sentences on all explanations and put a box around your ﬁnal answer. Good Luck!! 1. True or False (2 points each) a. False The intersection of two surfaces is always a line. b. False The area of a parallelogram with sides ~a and ~ b is given by | ~a · ~ b | . c. True For any vectors ~a and ~ b , we have ~a · ( ~a × ~ b ) = 0. d. False The graph of f ( x, y ) = x + y sin x is a space curve. e. True Suppose r ( s ) deﬁnes a vector function which is parametrized by arclength. Then Z 1 0 | r 0 ( s ) | ds = Z 2 1 | r 0 ( s ) | ds .

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

View Full Document
2. (a) (5 points) Find an equation of the line through the point (7 , 2 , - 5), which is parallel to the line x - 2 3 = y + 4 2 ; z = 3 . The line we are given has a direction vector of < 3 , 2 , 0 > . Therefore the line we are looking for goes through the point (7
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 5

exam1Solutions - Name Math 211A Fall 2005 Exam 1 Honor Code...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online