Question 183119This question is from textbook Contemporary Linear Algebra
: 17. In each part, sketch the vector u + v+ w, and express it in component form.
(What am I doing wrong? I got the coordinate points of each initial point of the vectors and head of each vector, then I applied the formula and I am not getting the same answer as the book which is (-2,5). The head point for u is (5,-5), v is (-5,-3), and W is (-2,5). The coordinates for the initial points are u = (0,0), v = (5,-5), and w is (-5,-3).
Initial points: u= (0,0) V= (5, -5), w = (-5,-3)
Terminal Points u= (5,-5), v= (-5,-3) and w= (-2,5)
This question is from textbook Contemporary Linear Algebra
Found 2 solutions by stanbon, TipoTropical:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 17. In each part, sketch the vector u + v+ w, and express it in component form.
(What am I doing wrong? I got the coordinate points of each initial point of the vectors and head of each vector, then I applied the formula and I am not getting the same answer as the book which is (-2,5). The head point for u is (5,-5), v is (-5,-3), and W is (-2,5). The coordinates for the initial points are u = (0,0), v = (5,-5), and w is (-5,-3).
Initial points: u= (0,0) V= (5, -5), w = (-5,-3)
Terminal Points u= (5,-5), v= (-5,-3) and w= (-2,5)
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The answer book is wrong:
x-coordinate = 5+-5+-2 = -2
y-coordinate = -5+-3+5 = -3
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Cheers,
Stan H.
Answer by TipoTropical(1) (Show Source):
You can put this solution on YOUR website! The previous solution is wrong you need to get the COMPONENT form for the vector u+v+w which means it's tail needs to be at the origin.
The work is right for the head of the vector but you need the tail as well which is at (0,-8), to recenter at the origin you need to add (0,8) to both the head and the tail so you would get...
Head = (-2,-3+8) = (-2,5) or -2i+5j
Tail = (0,-8+8) = (0,0)
And that's it. Cojelo con take it easy.
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