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Section 9.3

# Section 9.3 - Find the angle between the vectors(First find...

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12/9/08 7:40 PM Section 9.3 Page 1 of 3 http://www.webassign.net/[email protected]/[email protected] Section 9.3 (Homework) MICKLES BRANDON L MA 242, section 008, Fall 2008 Instructor: April Alston Web Assign Current Score: 21 out of 21 Due: Friday, September 5, 2008 10:03 PM EDT Description The Dot Product The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. [SCalcCC2 9.3.02.] 2/2 points Find the dot product of two vectors if their lengths are 4 and 1/4 and the angle between them is π /4. .7071068 0.707 2. [SCalcCC2 9.3.04.] 2/2 points Find a·b . a = ( 1/4 , 6 ) b = ( -5 , -3) -19.25 -19.2 3. [SCalcCC2 9.3.06.] 2/2 points Find a·b . a = ( s , 7 s , 8 s ) b = ( t , - t , 9 t ) 66st s*t + (7*s)*(-t) + (8*s)*(9*t)

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12/9/08 7:40 PM Section 9.3 Page 2 of 3 http://www.webassign.net/[email protected]/[email protected] 4. [SCalcCC2 9.3.10.] 2/2 points If u is a unit vector, find u·v and u·w . u·v = 1/2 0.5 u·w = 0 0 5. [SCalcCC2 9.3.14.] 2/2 points
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Unformatted text preview: Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) a = (6, -3, 2) b = (2, 1, -2) 76.225853 76 ° 6. [SCalcCC2 9.3.24.] 6/6 points Find the scalar and vector projections of b onto a . a = 2 i- 3 j + k , b = i + 6 j- 2 k Scalar projection-4.8107-4.81 Vector projection-18/7-2.57 i + 27/7 3.86 j + -9/7-1.29 k 7. [SCalcCC2 9.3.30.] 2/2 points Find the work done by a force of 27 lb acting in the direction N50°W in moving an object 7 ft due west. 144.7824 145 ft-lb 12/9/08 7:40 PM Section 9.3 Page 3 of 3 http://www.webassign.net/[email protected]/[email protected] 8. [SCalcCC2 9.3.32.] 3/3 points A wagon is pulled a distance of 40 m along a horizontal path by a constant force of 20 N. The handle of the wagon is held at an angel of 30° above the horizontal. How much work is done? 692.820323 693 joules...
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