If the magnitude of the sum of two vectors is less than the magnitude of either vector, then:

If the magnitude of the sum of two vectors is less than the magnitude of either vector, then:

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If the magnitude of the sum of two vectors is less than the magnitude of either vector, then:

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If the magnitude of the sum of two vectors is less than the magnitude of either vector, then:

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  • Thread starter jdief
  • Start date Oct 2, 2012

If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: -the vectors must be parallel and in the same direction -the scalar product of the vectors must be negative -none of these -the scalar product of the vectors must be positive -the vectors must be parallel and in opposite directions

Homework Equations

V1+V2=V3 A(dot)B=ABcos(θ)

The Attempt at a Solution


I know the answer is that the scalar product of the vectors must be negative, but I don't get why.

Answers and Replies

SammyS

If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: -the vectors must be parallel and in the same direction -the scalar product of the vectors must be negative -none of these -the scalar product of the vectors must be positive -the vectors must be parallel and in opposite directions

Homework Equations

V1+V2=V3 A(dot)B=ABcos(θ)

The Attempt at a Solution


I know the answer is that the scalar product of the vectors must be negative, but I don't get why.

Hello jdief. Welcome to PF !

What have you tried?

If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: