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Consider the three points in R3: A (3, 2, 0), B (0, 4, 2), and C (1, 0, 5). (a) The two vectors ⃗u and ⃗v both begin at A and point to B and C, respectively. Calculate ⃗u and ⃗v. (b) Determine the angle between ⃗u and ⃗v. (c) Calculate the area of the parallelogram determined by ⃗u and ⃗v. (d) Determine the vector equation of the line which passes through the points B and C.
 one year ago
 one year ago
Consider the three points in R3: A (3, 2, 0), B (0, 4, 2), and C (1, 0, 5). (a) The two vectors ⃗u and ⃗v both begin at A and point to B and C, respectively. Calculate ⃗u and ⃗v. (b) Determine the angle between ⃗u and ⃗v. (c) Calculate the area of the parallelogram determined by ⃗u and ⃗v. (d) Determine the vector equation of the line which passes through the points B and C.
 one year ago
 one year ago

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eric789nonBest ResponseYou've already chosen the best response.1
are you asking all the questions
 one year ago

eric789nonBest ResponseYou've already chosen the best response.1
(A) u = (3,2,2) v = (2,2,5)
 one year ago

heedcomBest ResponseYou've already chosen the best response.0
in calculating as eric789non has given you do dw:1359632955043:dw
 one year ago

eric789nonBest ResponseYou've already chosen the best response.1
yes "point to" means after you add vector u to a it bocomes b
 one year ago

heedcomBest ResponseYou've already chosen the best response.0
in terms of the angle then please see this vid, as we try to assist and not give answers: http://www.youtube.com/watch?v=WDdR5s0C4cY
 one year ago

jay.Best ResponseYou've already chosen the best response.0
ok, i understand a and b can you please explain c and d
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
if i recall correctly, i think the area of the parallelgram is related to the magnitude of the vector that is produced by crossing u and v
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
either that or you can find the height of the parallelagram and the base
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
d is just determining the vector from B to C and anchoring it to either point to define the line
 one year ago
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