Question
Can you add three unit vectors to get a unit vector? Does your answer change if two unit vectors are along the coordinate axes?
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Answer
Of course we can add three unit vectors to give a unit vector. An example of this is i, i, -i even If any two unit vectors are along the axes the third vector can so be aligned so that they give a vector of unit magnitude. I will give you an example: i, j, –i.
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