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Find the angle formed by the two lines given by 2x = 3y = -z and 6x = -y = -4z.

1. 0°
2. 90°
3. 45°
4. 30°

Correct answer: 90°

Solution

The two lines are represented by their direction vectors, which can be derived from the given equations. Since the direction vectors are orthogonal, the angle between them is 90°, indicating that the lines intersect at a right angle.

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