Vectors.

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Presentation transcript:

Vectors

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

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

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

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

5. The vector v has initial point P and terminal point Q 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)

  v = -2i + 4j

  v = 4i + 6j

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

9. Find the unit vector in the same direction as v (Similar to p v = -5j

10. Find the unit vector in the same direction as v (Similar to p v = -4i - j

   

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

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