Texts: (a) Convert (-3, 4) into polar coordinates. (b) Determine if the following vectors are parallel, orthogonal, or neither and calculate the magnitude of both vectors. 𝒂 = (8, -11, 19), 𝒃 = (16, 22, 6)
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Step 1
To convert (-3, 4) into polar coordinates, we can use the following formulas: r = √(x^2 + y^2) θ = arctan(y/x) Substituting the given values, we have: r = √((-3)^2 + 4^2) = √(9 + 16) = √25 = 5 θ = arctan(4/(-3)) = arctan(-4/3) Since the point (-3, 4) is in the Show more…
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