Let Å be the displacement vector with a magnitude of 5.3 meters directed 12 degrees in the north of east direction, and let be the displacement vector with a magnitude of two meters due northwest. Express vectors Å and B in unit vector component for Î+ B-

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters, 12 degrees in the north of
east direction to reach the doorstep of the convenience store. He then enters the store and walks straight to cashier, two meters
due northwest.
Let Á be the displacement vector with a magnitude of 5.3 meters directed 12 degrees in the north of east direction, and let B be
the displacement vector with a magnitude of two meters due northwest. Express vectors Á and B in unit vector component form.
À =
+
B -
+
The net displacement is given by the vector sum:
:Ř=À +B.
Ř-
By Pythagorean theorem,the magnitude of the displacement is:
|Ř =
meters.
The direction of the resultant displacement is:
0 =
north of east.
Transcribed Image Text:Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters, 12 degrees in the north of east direction to reach the doorstep of the convenience store. He then enters the store and walks straight to cashier, two meters due northwest. Let Á be the displacement vector with a magnitude of 5.3 meters directed 12 degrees in the north of east direction, and let B be the displacement vector with a magnitude of two meters due northwest. Express vectors Á and B in unit vector component form. À = + B - + The net displacement is given by the vector sum: :Ř=À +B. Ř- By Pythagorean theorem,the magnitude of the displacement is: |Ř = meters. The direction of the resultant displacement is: 0 = north of east.
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