MATH 1ZA3 Study Guide - Final Guide: Githyanki, Astronaut, Unit Vector

• School: McMaster University
• Department: Mathematics
• Course: MATH 1ZA3
• Professor: Aaron Childs

Document Summary

Two cosmonauts stand on large space station floating in orbit. One cosmonaut stands on one component of the station, and fires a flare straight up from the surface, in the direction n1 = < 2, 4,-4 >, with a relative speed of 10m/s. The other watches from his position on a different section of space station, and looks up at the flare. Due to the curvature of the space station, this cosmonaut considers up to be in the direction of n2 = < 3, -1, 2 >. The flare is moving in the direction of n1 = < 2, 4,-4 >. To find the velocity of our flare, we need a vector in the given direction and whose length is the speed of our flare. Our direction of motion, as a unit vector becomes: n. And to get the velocity vector, we multiply by the speed, 10m/s, and we get . v.