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Dana Says Any Vector R\overrightarrow { \mathrm { R } }

Question 8

Multiple Choice

Dana says any vector R\overrightarrow { \mathrm { R } } can be represented as the sum of two vectors: R=A+B\overrightarrow { \mathbf { R } } = \overrightarrow { \mathrm { A } } + \overrightarrow { \mathrm { B } } .Ardis says any vector R\overrightarrow { \mathrm { R } } can be represented as the difference of two vectors: R=AB\overrightarrow { \mathbf { R } } = \overrightarrow { \mathrm { A } } - \overrightarrow { \mathbf { B } } .Which one,if either,is correct?


A) They are both wrong: every vector is unique.
B) Dana is correct: Any vector can be represented as a sum of components and not as a difference.
C) Ardis is correct: Any vector can be represented as a difference of vector components and not as a sum.
D) They are both correct: A difference of vectors is a sum
R=A+(B) \overrightarrow { \mathbf { R } } = \overrightarrow { \mathbf { A } } + ( - \overrightarrow { \mathbf { B } } ) .
E) They are both wrong: Vectors can be moved as long as they keep the same magnitude and direction.

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