Answer:
True
Step-by-step explanation:
You want to know if it is true that the magnitude of a vector can never be less than the magnitude of any of its components.
Magnitude
By most definitions, the magnitude of a vector is the root of the sum of the squares of its components.
A square is never negative, so the sum of squares will always be at least as great as the square of the largest component. Hence the vector's magnitude can never be less than the magnitude of its largest component.
The statement is true.
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Additional comment
This fact can help you sort out the possible from the impossible answers to many vector and triangle problems.
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