Find the direction cosines of the sides of the triangle whose vertices are `(3, 5, 4)`, `( 1, 1, 2)`and `( 5, 5, 2)`.
Text Solution
AI Generated Solution
To find the direction cosines of the sides of the triangle with vertices \( A(3, 5, 4) \), \( B(1, 1, 2) \), and \( C(5, 5, 2) \), we will follow these steps:
### Step 1: Find the direction ratios of the sides of the triangle.
1. **Direction Ratio of Side AB**:
\[
\text{Direction Ratio of } AB = (x_B - x_A, y_B - y_A, z_B - z_A) = (1 - 3, 1 - 5, 2 - 4) = (-2, -4, -2)
\]
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