One displacement vector A has a magnitude of 3.43 km and points due north. A second displacement vector B has a magnitude of 9.45 km and also points due north. Explain how you get your answer.
(a) Find the magnitude and direction of A-B (in Km)
(b) Find the magnitude and direction of B-A (in Km)
2007-01-21 12:16:52 · 6 answers · asked by uscgurrl21 1 in Science & Mathematics ➔ Mathematics
if we let vector pointing to north a positive, then
the vector pointing south is negative...
A = (+) 3.43
B = (+) 9.45
(a) A-B = (+) 3.43 - (+) 9.45
= (-) 6.02 ...since it's negative it must be pointing south
ANSWER 6.02 km SOUTH
(b) B - A = (+) 9.45 - (+) 3.43
= (+) 6.02 ...since positive it must be pointing north
ANSWER: 6.02 NORTH
2007-01-21 13:15:25 · answer #1 · answered by swas77 2 · 0⤊ 0⤋
Alright, the first question asks for the M and D of A-B. Which is to say, Vector A minus Vector B. Placing them side by side, We subtract 9.45 km from 3.43 km ( a diagram helps a lot here) and get a numerical value of -6.02km. Because it is a negative value, the direction is to the south, so your answer is 6.02 km to the South.
for part B, you do the sam procedure, except subtract A from B, or 9.45-3.43km, giving us a value of 6.02. Since its positive, it is to the north or the original direction of the vectors.
Drawing a diagram helps a lot, draw a dot as the starting point, and then for part A draw vector A going to the north, and because you are subtracting vector B, draw vector B going to the south. Make sure its to scale, and vector B is longer than that of vector A, you can see that the overall direction is to the south.
2007-01-21 12:26:48 · answer #2 · answered by the wanderer 2 · 0⤊ 0⤋
First I need to convert vector A into a vector like ( 0, 3.43) and B as (0, 9.45) Then I just add or subtract the vectors. This form is (x, y) so if x is 0 then then the vector is pointing along the y axis. I am assuming that positive y is North and negative y is South.
2007-01-21 12:26:37 · answer #3 · answered by rscanner 6 · 0⤊ 0⤋
Since they are pointing in the same direction just subtract.
A - B = 3.43 - 9.45 = -6.02 km north = +6.02 km south
B - A = 9.45 - 3.43 = 6.02 km north
2007-01-21 12:21:16 · answer #4 · answered by Northstar 7 · 0⤊ 0⤋
A-B go north 3.43 then south 9.45km (the "negative" of due north is due south). 3.43-9.45=-6.02 km (since the sign is negative, this is due south).
B-A go north 9.45 then south 3.43km (the "negative" of due north is due south). 9.45-3.43=6.02 km (this is north).
2007-01-21 12:22:15 · answer #5 · answered by jbj1950 2 · 0⤊ 0⤋
Hey do u need answer to these right now...? im me if you do ... cause then i can do it... if not... i'll leave the answer l8r
EDIT:
I'll just answer it right now
a) 6.02 km South
b0 6.02km North
2007-01-21 12:20:20 · answer #6 · answered by Anonymous · 0⤊ 1⤋