Is the component of a vector still a vector?

Thread starter Red_CCF
Start date Sep 26, 2009
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Component Vector

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A vector is defined by its magnitude and direction, and its components can also be considered vectors if expressed with unit vectors. In the example of vector v=3i+4j, both 3i and 4j are indeed vectors. However, the numerical values 3 and 4 themselves are not vectors. Thus, while components can represent vectors, the scalar coefficients do not qualify as vectors. Understanding this distinction is crucial in vector analysis.

Sep 26, 2009

Red_CCF

I know that a vector has magnitude and direction. But what about its components? Are they still considered vectors? Thanks in advance

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Sep 26, 2009

mikelepore

Yes, if the unit vector is part of the term. For vector v=3i+4j, 3i is a vector, 4j is a vector. The 3 and 4 are not vectors.

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