Using vectors, find the area of the triangle ABC with vertices A(1,2,3), B(2, -1, 4) and C(4,5,-1).
To find the area of triangle ABC with vertices A(1, 2, 3), B(2, -1, 4), and C(4, 5, -1), we can use the vector cross product method. Here's how to solve it manually: --- ### Step 1: Find the vectors \(\vec{AB}\) and \(\vec{AC}\) The vectors \(\vec{AB}\) and \(\vec{AC}\) are calculated as the differences between ____ _______ ________ ___ ______ _____ ____ __________ ___ _________.
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find vector
such that
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is
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