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Larger by a factor of √2.

If you draw a vector at 45°, then draw a vertical line from the end of that vector, you have a 45° right triangle.

If you recall your trig. relationships, the hypotenuse of a 45° right triangle is √2 (or 1.414) times the length of either leg.

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Q: Will a vector at 45 degree to the horizontal be larger or smaller than its horizontal and vertical component changes?
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