Could a vector ever be shorter than one of its components? Equal in length to one of its components? Explain.

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asked Apr 13, 2015 5.1k views

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John David Reaver · Answer 1 · 2015-04-15T10:35:53+0000

Answer:Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equation and graph? What would the points (3, 9) and (5, 15) represent?

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Alexander Sloutsky · Answer 2 · 2015-04-18T01:39:25+0000

It can never be shorter than a component - magnitude of a vector is the square root of the sum of the components squared, and a square function never produces a negative number. However, it can be the same size as it's component, if that component is the only one.

Could a vector ever be shorter than one of its components? Equal in length to one of its components? Explain.

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