IV. Adding and subtracting vectors using components A. The easiest way to add or subtract vectors...

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IV. Adding and subtracting vectors using components A. The easiest way to add or subtract vectors is by first finding the x and y components of each vector. Consider vector A with a magnitude of 50 m and points 30 SE, and vector B with a magnitude of 40 m and points 60 NW. a. Draw the two vectors on the coordinate axes shown on the right. b. Fill out the table below and then write both A + B and A - B in component form. Remember units! x component A 43.3 m B-20 m y component -25m 34.64 m A + B = (233 m) + (3.64 m) B = (63.3 mi) + (-59.64) 40m 50m -40 cos (60) + 40 sin(60) = 14.62 x y 50 cos (30) -50 sin (30) = 18. 2 = 1233 +13.642 C 2 B = 163.3) + (-55.641 B. Find the magnitude and direction (both cardinal and from +x axis) of C = A + B and D=A-B. Use the coordinate axes shown to draw the vectors here. C: Magnitude: 25.12m D: Magnitude: 86.97m Direction 1: Direction 1: Direction 2: Direction 2: 86.97m 25.12 IV. Adding and subtracting vectors using components A. The easiest way to add or subtract vectors is by first finding the x and y components of each vector. Consider vector A with a magnitude of 50 m and points 30 SE, and vector B with a magnitude of 40 m and points 60 NW. a. Draw the two vectors on the coordinate axes shown on the right. b. Fill out the table below and then write both A + B and A - B in component form. Remember units! x component A 43.3 m B-20 m y component -25m 34.64 m A + B = (233 m) + (3.64 m) B = (63.3 mi) + (-59.64) 40m 50m -40 cos (60) + 40 sin(60) = 14.62 x y 50 cos (30) -50 sin (30) = 18. 2 = 1233 +13.642 C 2 B = 163.3) + (-55.641 B. Find the magnitude and direction (both cardinal and from +x axis) of C = A + B and D=A-B. Use the coordinate axes shown to draw the vectors here. C: Magnitude: 25.12m D: Magnitude: 86.97m Direction 1: Direction 1: Direction 2: Direction 2: 86.97m 25.12