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Vector Graphing and Direction Analysis Practice Tasks

Practice graphing vectors and analyzing vector direction in a given figure. Find position vectors, calculate quantities, and determine unit vectors and direction angles.

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Vector Graphing and Direction Analysis Practice Tasks

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  1. Vectors

  2. 1. Use the vectors in the figure to graph each of the following vectors(similar to p.346 #9-16) u + v

  3. 2. Use the vectors in the figure to graph each of the following vectors(similar to p.346 #9-16) 4v

  4. 3. Use the vectors in the figure to graph each of the following vectors(similar to p.346 #9-16) w - v

  5. 4. Use the vectors in the figure to graph each of the following vectors(similar to p.346 #9-16) 2w – v + 3u

  6. 5. The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector(Similar to p.346 #27-34) P = (-5, 4); Q = (3, 2)

  7. v = -2i + 4j

  8. v = 4i + 6j

  9. 8. Find each quantity if v = 7i – 3j and w = -4i + 6j(Similar to p.346 #41-46) 5v – 3w

  10. 9. Find the unit vector in the same direction as v(Similar to p.346 #47-52) v = -5j

  11. 10. Find the unit vector in the same direction as v(Similar to p.346 #47-52) v = -4i - j

  12. 12. Find the direction angle of v for each vector(Similar to p.347 #63-70) v = -2i + 2j

  13. 13. Find the direction angle of v for each vector(Similar to p.347 #63-70) v = 3i + -7j

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