Find the area of △ABC. Where:A=(3,2), B=(2,4), C=(0,2) Suppose that a×b=〈−1,1,−1〉〉 and a⋅b=−4 Assume that θ is the angle...

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Advance Math

Find the area of â–³ABC.Where:A=(3,2), B=(2,4), C=(0,2)

Suppose that a×b=〈−1,1,−1〉〉and a⋅b=−4 Assume that θis the angle between aand b.Find:

tanθ=

θ=

Find a nonzero vector orthogonal to botha=〈5,1,5〉, and b=〈2,−4,−1〉

Find a nonzero vector orthogonal to the plane through thepoints: A=(0,2,2), B=(−3,−2,2),C=(−3,2,3).

Find a nonzero vector orthogonal to the plane through thepoints: A=(0,1,−1), B=(0,6,−5),C=(4,−3,−4)..

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