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Lesson three Assignment Name: r r r In 1-3, let u = (5, 10), v = (-1, 3), and w = (4, 7), and compute. r r 1. u v r r r 2. ( u v )w r r r r 3. (u + v ) (v - w ) In 4-6, find the measure of the angle between the two vectors. 4. (-1, 1) and (4, 2) 5. (0, 8) and (-4, 0) 6. [18, 63º] and [42, 172º] r r 7. Show that v = (20, 18) and u = (-6, 10) are not orthogonal. r r r r r r r r r r 8. If u and v are vectors in a plane, prove the ( u + v ) ( u - v ) = u u - v v . r r In 9-11, determine whether u and v are perpendicular, parallel, or neither. r r 9. u = (-2, 1), v = (10, -5) r r 10. u = (3, -4), v = (6, 2) r r 11. u = (7, -3), v = (-6, -14) r In 12 and 13, let v = (4, -4). Write avector equation for the line through P = (-1, 8) that is r 12. parallel to . v r 13. perpendicular to v .