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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 the coordinates of the points: \[ \vec{AB} = B - A _________ ________ ____ ___ ____ _______ __________ _____.
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