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?
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.
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.
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Graham Rhodes Senior Scientist Applied Research Associates, Inc.