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3. State the magnitude and direction of each of the vectors given below. a) r-30 m (displacement vector) b) v 60 m/s west (velocity vector) c) F-20N at-45° (force vector) d) p50 kg /s at 25° (linear momentum vector) 4. Provide a graphical example of a 1-dimensional vector (ID) and one of a 2- dimensional vector (2D). Be sure to include reference axes with labels in each case. 5. 1D Vectors. Let vector A +3 units and let vector E--6 units. Do the following: State the magnitude and direction of vectors A and B. -directions), Find A+B and show graphically (for convenience, you can let C be the sum of a) b) Draw a scaled representation of vectors A and B (choose a convention for + and c) d) Find A - B and show graphically (for convenience, you can let C be the sum of the two vectors). the two vectors). 6. 2D Vectors. Given the vector N-72 units with θ 200°, do the following: a) Find the x and y components of N. b) Sketch the vector N. Be sure to label axes and show the scale used. c) What do the x and y components represent? 7. 2D Vectors. Let vector A 3 units west, vector B-6 units 30° north of east, and vector C-8 units 45° southeast. Do the following: vectors added and subtracted! a) Sketch all three vectors on the same coordinate plane. b) Find the x and y components of all three vectors. c) Find A + B and show graphically. d) Find A - B and show graphically e) Find A +B+C and show graphically. f) Find A+ B- C and show graphically
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