Write the Cartesian coordinates {x, y, z} in terms of the CC coordinates {p, , x

Question

Write the Cartesian coordinates {x, y, z} in terms of the CC coordinates {p, , x}. [Answer X = p cos y = p sin z = z.] Write the CC coordinates {p, z} in terms of the Cartesian coordinates {x, y, z}. [Answer: Also in Fig 3, a set of basis vectors, { } . is placed at the position r. is parallel to the x-y plane and in the direction of increasing p. is also parallel to the x-y plane, but perpendicular to such that by "pulling on it" one will increase the angle ? is the same as in the Cartesian basis

Explanation / Answer

Vector Calculus: Understanding the Dot Product I see the dot product as directional multiplication. But multiplication goes beyond repeated counting: it’s applying the essence of one item to another. Normal multiplication combines growth rates: “3 x 4? can mean “Take your 3x growth a...

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