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

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? ;

Answered by dasspald | 2024-06-12

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.

Answered by avtrisal | 2024-06-24

A vector's magnitude cannot be shorter than any of its components as it is derived from their squares. However, a vector can be equal in length to one of its components when it has only one non-zero component. For instance, a vector like ⟨ 3 , 0 ⟩ has a magnitude equal to its x-component 3.
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Answered by avtrisal | 2024-09-05