Consider the three displacement vectors A = (4î - 3ĵ) m, B = (6î - 7ĵ) m, and C = (-81 + 5ĵ) m. Use the component method to determine the following. (Take the +x direction to be to the right.) (a) the magnitude and direction of the vector D = A + B + C X magnitude Note that all three vectors lie in the xy plane so the sum of these vectors will also lie in the xy plane. mi x The angle you give does not put the sum into the correct quadrant.° counterclockwise from the +x axis direction (b) the magnitude and direction of E= -A-B+C magnitude m direction ° counterclockwise from the +x axis

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Chapter3: Vectors
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Problem 50PQ: An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225...
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M
PRACH
Consider the three displacement vectors A = (4î - 3ĵ) m, B = (61 - 7ĵ) m, and C = (-8î + 5ĵ) m. Use the component method to
determine the following. (Take the +x direction to be to the right.)
(a) the magnitude and direction of the vector D = A + B + C
X
magnitude
Note that all three vectors lie in the xy plane so the sum of these vectors will also lie in the xy plane. m
X
The angle you give does not put the sum into the correct quadrant.° counterclockwise from the +x axis
direction
(b) the magnitude and direction of E= -A-B+C
magnitude
m
direction
counterclockwise from the +x axis
Transcribed Image Text:M PRACH Consider the three displacement vectors A = (4î - 3ĵ) m, B = (61 - 7ĵ) m, and C = (-8î + 5ĵ) m. Use the component method to determine the following. (Take the +x direction to be to the right.) (a) the magnitude and direction of the vector D = A + B + C X magnitude Note that all three vectors lie in the xy plane so the sum of these vectors will also lie in the xy plane. m X The angle you give does not put the sum into the correct quadrant.° counterclockwise from the +x axis direction (b) the magnitude and direction of E= -A-B+C magnitude m direction counterclockwise from the +x axis
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