Show that the points `(2, 3, 4), ( 1, 2, 1), (5, 8, 7)`are collinear.
Text Solution
AI Generated Solution
To show that the points \( A(2, 3, 4) \), \( B(1, 2, 1) \), and \( C(5, 8, 7) \) are collinear, we can follow these steps:
### Step 1: Find the direction ratios of line segments AB and BC.
1. **Calculate the direction ratios of AB:**
\[
AB = B - A = (1 - 2, 2 - 3, 1 - 4) = (-1, -1, -3)
\]
...
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