Solve all parts. The displacement vectors A and B shown in the figure below both have magnitudes of 3.21 m. The direction of vector A is8 = 29.9°(a) Find A(b) Find A - B graphically.(c) Find B - A graphically.(d) Find A 2B graphically.BStep 1Visualize adding vectors as playing golf. You string along one displacement after another, each beginning where the lastended. Visualize the negative of a vector as an equal-magnitude vector in the opposite direction. Visualize -2B as having twicethe length of B and being in the opposite direction.Step 2We must draw with a protractor and ruler to construct the additions. Then we must measure with the ruler and protractor toread the answers.Step 3To find these vectors graphically, we draw each set of vectors as in the following drawings. We have a free choice of startingpoint and of scale. When subtracting vectors, we use A - B = A + (-B). (Note: the vector addition in the figures below use anarbitrary value of that may not match your randomization.)(a)Om2m4mScale****-BB-A(b)B graphically.(c)Ā+B0AA+B= 2.6410 53.2→|AB|= 1.98e= -36.9→B= 1.980= 143.15|BA|(d) A-2B|= 3.258= -60.83A-BX XXmX X°3x >>XmE oSXmE oX mOBA-2B-2B

Vector A.x-component:y-component:Therefore, Vector B.Vector B has only y-component since it is a…

The displacement vectors A and B shown in the figure below both have magnitudes of 3.21 m. The direction of vector A is 8 = 29.9° (a) Find A + B graphically. (b) Find A B graphically. (c) Find B - A graphically. (d) Find A - 2B graphically.

The displacement vectors A and B shown in the figure below both have magnitudes of 3.21 m. The direction of vector A is 8 = 29.9° (a) Find A + B graphically. (b) Find A B graphically. (c) Find B - A graphically. (d) Find A - 2B graphically.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.3: Vectors In The Plane

Problem 93E: Air Navigation An airplane travels in the direction of 148 with an airspeed of 875 kilometers per...

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Question

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Solve all parts.

The displacement vectors A and B shown in the figure below both have magnitudes of 3.21 m. The direction of vector A is
8 = 29.9°
(a) Find A
(b) Find A - B graphically.
(c) Find B - A graphically.
(d) Find A 2B graphically.
B
Step 1
Visualize adding vectors as playing golf. You string along one displacement after another, each beginning where the last
ended. Visualize the negative of a vector as an equal-magnitude vector in the opposite direction. Visualize -2B as having twice
the length of B and being in the opposite direction.
Step 2
We must draw with a protractor and ruler to construct the additions. Then we must measure with the ruler and protractor to
read the answers.
Step 3
To find these vectors graphically, we draw each set of vectors as in the following drawings. We have a free choice of starting
point and of scale. When subtracting vectors, we use A - B = A + (-B). (Note: the vector addition in the figures below use an
arbitrary value of that may not match your randomization.)
(a)
Om
2m
4m
Scale
****
-B
B-A
(b)
B graphically.
(c)
Ā+B
0
A
A+B= 2.641
0 53.2
→
|AB|
= 1.98
e= -36.9
→
B
= 1.98
0= 143.15
|BA|
(d) A-2B|
= 3.25
8= -60.83
A-B
X X
Xm
X X
°3
x >>
Xm
E o
S
Xm
E o
X m
O
B
A-2B
-2B

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Step 1: Let's find the components of vectors A and B.

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Step 2: Let's solve a)

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Step 3: Let's solve b)

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Step 4: Let's solve c)

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