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Vector Question


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Posted 04 October 2001 - 01:48 PM

The magnitudes of A and B vectors are 8 and 6, the largest value possible for the vector sum A + B can not be 10. True or False? What can be the largest value for the vector sum? What if you have A - B then what?

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Posted 05 October 2001 - 03:56 AM

The way I understand the question (since it is not very clear to me what you want to know)

|A| = 8
|B| = 6
so |A + B| = sqrt(8*8 + 6*6) = 10

and for |A - B| it is exactly the same... but the direction is oposite... note that in vectors you need to know the direction as well.



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Posted 05 October 2001 - 04:02 AM

Technically you need to use the cosine law.

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Posted 05 October 2001 - 05:10 AM

I''d say 14 as the largest value... if they''re like parallel (in the same direction) you just add the magnitudes together. 10 would be the magnitude of their sum if they were perpendicular. But if you want the largest possible value, it''s 14.

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Posted 05 October 2001 - 06:17 AM

Largest value would be 14 and smallest would be 2. We just did it in class.

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Posted 09 October 2001 - 02:50 AM

I''m closing this thread and several others because the question appears to be a school homework assignment from a math class. The purpose of homework is to teach students to build their comprehension of a subject and their problem-solving skills, possibly with the assistance of other students in the same class or teachers of the class. Especially for math problems such as the one posed here, it is absolutely NOT appropriate to seek the answers from folks outside one''s class or school.

These forums are to be used for assistance in game development activities only.

Graham Rhodes
Senior Scientist
Applied Research Associates, Inc.




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