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Show that the point A(-2, 4, 7), B(3, -6...

Show that the point A(-2, 4, 7), B(3, -6, -8) and C(1, -2, -2) are collinear.

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To show that the points A(-2, 4, 7), B(3, -6, -8), and C(1, -2, -2) are collinear, we can use the concept of vectors. Specifically, we will find the vectors AB and AC and check if they are scalar multiples of each other. ### Step 1: Find the vector AB The vector AB can be calculated using the formula: \[ \vec{AB} = \vec{B} - \vec{A} \] Where \(\vec{A} = (-2, 4, 7)\) and \(\vec{B} = (3, -6, -8)\). ...
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