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a and b must face in opposite directions.

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Q: What must be the relationship between two vectors a and b if the magnitude of vector a plus b is equal to magnitude of a-b?
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Can the magnitude of the difference between two vectors ever be greater than the magnitude of either vector?

No.


Vector component greater than the vectors magnitude?

can a vector have a component greater than the vector magnitude


What two vectors does a vector have?

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That fact alone doesn't tell you much about the original two vectors. It only says that (magnitude of vector-#1) times (magnitude of vector-#2) times (cosine of the angle between them) = 1. You still don't know the magnitude of either vector, or the angle between them.


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Scalars are quantities that have magnitude only; they are independent of direction. Vectors have both magnitude and direction. vectors need bold letters to show them.


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