A vector has magnitude 6√2, equal positive x- and y-components, and z-component 6. Find the vector.
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Question

A vector has magnitude 6√2, equal positive x- and y-components, and z-component 6. Find the vector.

G1 Physics · Accepted Answer

Let x=y=a. Then 2a²+36=(6√2)²=72, so a²=18? This would give a=3√2, hence the correct vector is 3√2î + 3√2ĵ + 6k̂.