Vector problem: Find the magnitude and direction of thevector sum R1 where R1 =
ID: 1655522 • Letter: V
Question
Vector problem: Find the magnitude and direction of thevector sum R1 where R1 = A + B. The vector A =11.7m at an angle 180deg from the positive horizontal axis, and B = 9.2m at an angle 82.2 fro mthe positive horizontal axis. Answer in units of m.
(part 1 of 6) 10.0 points tude and direction of the vec Find the magni - tor sum R where Ri- A + B. The vector A = 11.7 m at an angle 180° from the positive horizontal axis, and B = 9.2 m at an angle 82.2° from the positive horizontal axis. Answer in units of m (part 2 of 6) 10.0 points At what angle (between -180° and 180° with 0° the positive x axis and counterclockwise positive) is the vec tor sum! Answer in units of°. (part 3 of 6) 10.0 points hat is the magnitude of the vector differen A- B? W ce Answer in units of m (part 4 of 6) 10.0 points At what angle (between -180° and 180° withExplanation / Answer
A = 11.7 (cos180i + sin180j) = - 11.7 i
B = 9.2(cos82.2i + sin82.2j) = 1.25i +9.11j
R1 = A + B = 1.25i - 2.6j
magnitude = sqrt(1.25^2 + 2.65^2) = 2.87 m
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direction = tan^-1(-2.6 / 1.25) = - 64 deg
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A - B = -1.25i - 20.8j
magnitude = sqrt(1.25^2 + 20.8^2) = 20.8 m
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direction = - 180 + tan^(20.8/1.25) = - 93 deg
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B - A = 1.25i + 20.8j
magnitude = 20.8 m
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direction = tan^-1(20.8 / 1.25) = 87 deg
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