## jay. 2 years 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.

1. eric789non

are you asking all the questions

2. jay.

yes

3. eric789non

(A) u = (-3,2,2) v = (-2,-2,5)

4. heedcom

in calculating as eric789non has given you do |dw:1359632955043:dw|

5. eric789non

yes "point to" means after you add vector u to a it bocomes b

6. heedcom

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

7. jay.

ok, i understand a and b can you please explain c and d

8. 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

9. amistre64

either that or you can find the height of the parallelagram and the base

10. amistre64

d is just determining the vector from B to C and anchoring it to either point to define the line