# Extra, Extended Comments on (Orth) - Fun Examples of...

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Fun Examples of Projection: Question #1: 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 n 1 = < 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 n 2 = < 3, -1, 2 >. What is the apparent “vertical” velocity from the point of view this second Cosmonaut? That is, what is the component of velocity of the flare in the vertical direction as perceived by the second Cosmonaut? Solution: The flare is moving in the direction of n 1 = < 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:

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## This note was uploaded on 12/14/2010 for the course MATH 1za3 taught by Professor Ben during the Winter '10 term at Macalester.

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Extra, Extended Comments on (Orth) - Fun Examples of...

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