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A vector has an ex-component of -2.5m and a y-component of 4.2m. Express the vector in magnitude-angle form.?

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A vector has an ex-component of -2.5m and a y-component of 4.2m. Express the vector in magnitude-angle form.?

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  1. A vector has an x-component of -2.5m and a y-component of 4.2m. Express the vector in magnitude-angle form...

    magnitude: sqrt(-2.5^2 + 4.2^2) = sqrt(23.9) = 4.9 [m]

    angle:

    arctan(4.2 / -2.5) or

    arcsin(4.2 / 4.9) or

    arccos(-2.5 / 4.9) = 120.7 [degrees]

    Answer: 4.9 [m] and 120.7 [degrees]

    Good luck.

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