# Vector Addition: Can Different Magnitudes Equal Zero?

Chapter 3, Problem 8

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QUESTION:

If you take two steps of different sizes, can you end up at your starting point? More generally, can two vectors with different magnitudes ever add to zero? Can three or more?

##### Vector Addition: Can Different Magnitudes Equal Zero?

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Join us in exploring the fascinating world of vectors and vector addition. In this video, we answer a fundamental question: Can two vectors with different magnitudes ever sum to zero? Delve into the principles of vector mathematics and discover the insights behind this intriguing concept. Tune in for a mind-expanding journey through the world of mathematics!

QUESTION:

If you take two steps of different sizes, can you end up at your starting point? More generally, can two vectors with different magnitudes ever add to zero? Can three or more?

Step 1 of  2

No, you can’t end up at your starting point with just two steps of different sizes, no matter in which direction you take the steps.