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Vector Addition: Returning to the Starting Point

Chapter 3, Problem 6

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QUESTION:

Suppose you take two steps A and B (that is, two nonzero displacements). Under what circumstances can you end up at your starting point? More generally, under what circumstances can two nonzero vectors add to give zero? Is the maximum distance you can end up from the starting point A + B the sum of the lengths of the two steps?

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QUESTION:

Suppose you take two steps A and B (that is, two nonzero displacements). Under what circumstances can you end up at your starting point? More generally, under what circumstances can two nonzero vectors add to give zero? Is the maximum distance you can end up from the starting point A + B the sum of the lengths of the two steps?

ANSWER:

Problem 6CQ

Solution 6CQ

Step 1 of 3:

In this question, we are to give a situation where two non zero vectors add up to give a zero

And also reason if the maximum distance one can end up from starting point the sum of length (A+B) in two steps

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