Let er, eθ, and ez be the unit vectors of the cylindrical coordinate system. Find (a) er ·(eθ ×ez) (b) er ×(eθ ×ez)
Added by Nguyen H.
Step 1
In this case, the matrix would look like this: | er eθ ez | | 1 0 0 | | 0 1 0 | | 0 0 1 | The determinant of this matrix is (1)(1)(1) - (0)(0)(0) = 1. So, er ·(eθ ×ez) = 1. (b) er ×(eθ ×ez) We can use the vector triple product rule, which Show more…
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