Question
If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then the scalar product of the vectors must be negative
If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then:
A) the scalar product of the vectors must be negative
B) the scalar product of the vectors must be positive
C) the vectors must be parallel and in opposite directions
D) the vectors must be parallel and in the same direction
E) none of the above
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Koala Tutor
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E) none of the above
If the magnitude of the sum of two vectors is greater than the magnitude of either vector, it simply means that the vectors are not opposite in direction and they are not parallel. The scalar product of the vectors being positive or negative is not a determining factor in this case.
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