{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Exam 1 Choike Fall 2010

Exam 1 Choike Fall 2010 - • MATH 2163 Calculus III Exam 1...

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 Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: • MATH 2163, Calculus III Exam 1 I. (10 pts.) Place yourself at the point (-2,4, -3) in the xyz-coordinate system. a. Starting at this point, move 5 units in the direction of the yz-plane; stop and make a right turn of 90° and move in this new direction another 8 units; stop and finally lower yourself 2 units. What are the coordinates of this new location? ('3-'1)~ b. What is the distance from your original position to your final position? ' 1IPf 2. (20 pts) Given the two vectors v =-31 + 2] - k and w = 1- 2] + 3k . a. What is the vector 3v - 2w? b. Find the dot product v. (3v - 2w). c. Find the angle between the vectors v and w . vH):: (U-6); f(U-t)J to{z-/tJt+ ..,)'h a. Find the velocity vector vet) and the acceleration vector a(t). cd.f) = 21:. +- Zj +(f>t -IO)"t d. Find the vector projection of the vector v onto the vector w. . L:-17 /% )_JX > 3. (15 pts) Find the equation of the plane passing through the point (-~, -2,3) and perpendicular to both the planes x - 3y + 2z =7 and 2x - 2y - z...
View Full Document

{[ snackBarMessage ]}

Page1 / 8

Exam 1 Choike Fall 2010 - • MATH 2163 Calculus III Exam 1...

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

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