anonymous
  • anonymous
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.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
are you asking all the questions
anonymous
  • anonymous
yes
anonymous
  • anonymous
(A) u = (-3,2,2) v = (-2,-2,5)

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anonymous
  • anonymous
in calculating as eric789non has given you do |dw:1359632955043:dw|
anonymous
  • anonymous
yes "point to" means after you add vector u to a it bocomes b
anonymous
  • anonymous
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
anonymous
  • anonymous
ok, i understand a and b can you please explain c and d
amistre64
  • amistre64
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
amistre64
  • amistre64
either that or you can find the height of the parallelagram and the base
amistre64
  • amistre64
d is just determining the vector from B to C and anchoring it to either point to define the line

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