gave it a fair try but i have no confidence in my work EXTRA CREDIT DO AS MUCH A
ID: 2847893 • Letter: G
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gave it a fair try but i have no confidence in my work
EXTRA CREDIT DO AS MUCH AS POSSIBLE IN CLASS THEN TAKE HOME OVER THE SPRING RECESS, DUE RACK IN CLASS ON MARCH 17TH SHOW WORK AND PROBLEM SOLVING STRATEGIES FOR FULL CREDIT. DEDICATED to GRAVITY You are in outer space in a spaceship that has run out of fuel, drifting in space in the direction of -1, 1, 2 from location (2, -3, 1) and needing to be re-equipped with power and supplies. The closest supply station is located at (10, 5, 10) and it sends out a supply vessel perpendicular to your projected line of flight. Try to sketch the situation for partial credit. What will this minimal distance to your line of flight? What direction did the supply sheet take? In terms of your flight parameter t = time (say in hours) when does this closest approach occur? Where is this interception point? NOTE These questions may be answered out of order, depending on the math strategy you use to solve the problem.Explanation / Answer
let the interception point be O(-t+2,t-3,2t+1)
=>
(-t+2 -10, t-3-5, 2t+1-10) = (-t-8, t-8, 2t-9) is perpendicular to (-1,1,2)
=>
-(-t-8)+(t-8)+2(2t-9) =0
=>
t = 3
=>
(a)
min. distance = 3*(1+1+4)^0.5 = 7.35
(b)
direction = (-1,1,2)
(d)
interception point = (-1,0,7)
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