MTH254-RecAct-Week1.pdf

# F a vector pq has its head at p x 1 y 1 and its tail

• Test Prep
• 4

This preview shows pages 1–4. Sign up to view the full content.

(f) A vector -→ PQ has its head at P ( x 1 , y 1 ) and its tail at Q ( x 2 , y 2 ). Determine a formula for -→ PQ expressed in angular bracket notation.

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

Math 254 Recitation Activity - Fall 2018 - Week 1 Page 2 of 4 (2) An ant walks due southeast at a speed of 2 centimeters per second on a flat sheet of paper. While the ant is walking, a person lifts the paper straight upward at 3 centimeters per second. Use a 3-dimensional vector to describe the velocity of the ant. (Positive x : east, positve y : north, positive z : up.) What is the speed of the ant? (3) A baseball initially travels in a direction 45 above the horizontal with a heading toward the northeast. If its speed is 80 mph, find the components of its initial velocity in east, north, and vertical directions. (Positive x : east, positve y : north, positive z : up.) (4) Let ~v = 2 ~ i + 3 ~ j - ~ k and ~w = ~ i - ~ j + 2 ~ k . Find the following: (a) ~v + 2 ~w . Give your answer in terms of the coordinate unit vectors ~ i , ~ j , ~ k and also using angular bracket notation. (b) | ~v | (c) Find a unit vector in the direction of ~v . (A unit vector is a vector with length 1.) (5) Two vectors are parallel if they are scalar multiples of each other. Find a vector that is parallel to ~v = h 3 , - 2 , 6 i having length 10. Find a second vector that has length 10 and is parallel to ~v = h 3 , - 2 , 6 i .
Math 254 Recitation Activity - Fall 2018 - Week 1 Page 3 of 4 (6) The following problems are all using the same “hanging block” scenario described below.

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

This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern