Draw diagrams to show two vectors a and b, and the vectors a + b and a − b.

When is the magnitude of a + b less than that of a − b?
When is the magnitude of a + b equal to that of a − b?
When is |a + b| = |a| + |b|?

Question

Draw diagrams to show two vectors a and b, and the vectors a + b and a − b.

    When is the magnitude of a + b less than that of a − b?
    When is the magnitude of a + b equal to that of a − b?
    When is |a + b| = |a| + |b|?

mathmate · Answer

Hints:
Here are some particular cases for you to investigate:
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mathmate · Answer

Have you done vector addition yet?

mathmate · Answer

Here's a link that explains visually the process, in case you need a refresher. http://www.mathsisfun.com/algebra/vectors.html

anonymous · Answer

Yes I have and thank you I will look into it

anonymous · Answer

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anonymous · Answer

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use the parallelogram method and find....

anonymous · Answer

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anonymous · Answer

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anonymous · Answer

@pgpilot326