Consider the following vectors. = (1.60 m) i + (3.00 m) Ĵ =(-4.00 m) - (5.70 m) Ĵ B: 4.10 m, at +65.0⁰ D: 5.00 m, at -238⁰ (a) What is the sum of the four vectors in unit-vector notation? -7.97i+5.26j m X (b) What is the sum of the four vectors as a magnitude and an angle? magnitude 9.55 x m direction 146.572 X(counterclockwise from the positive x axis)
Consider the following vectors. = (1.60 m) i + (3.00 m) Ĵ =(-4.00 m) - (5.70 m) Ĵ B: 4.10 m, at +65.0⁰ D: 5.00 m, at -238⁰ (a) What is the sum of the four vectors in unit-vector notation? -7.97i+5.26j m X (b) What is the sum of the four vectors as a magnitude and an angle? magnitude 9.55 x m direction 146.572 X(counterclockwise from the positive x axis)
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Transcribed Image Text:Consider the following vectors.
= (1.60 m)i + (3.00 m) ĵ
=(-4.00 m) 1 - (5.70 m) ↑
(a) What is the sum of the four vectors in unit-vector notation?
-7.97i+5.261
x
B: 4.10 m, at +65.0⁰
5: 5.00 m, at -238⁰
m
(b) What is the sum of the four vectors as a magnitude and an angle?
magnitude
9.55
x m
direction
146.572
X (counterclockwise from the positive x axis)
There is a mixture of notations. (a) First, convert B and D to unit-vector notation. Then add the x components to get the net x component. Then add the y components to get the net y
component.
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