What is \( (PQ^2 + 2QS^2 - 2PR^2) \) equal to ?
For the next two (02) items that follow : P(-2, -3, 5), Q(4, -1, 5), R(6, -4, 8) and S(2, -6, 10) are four points.
- A. -1
- B. 0 ✓
- C. 1
- D. 2
Correct Answer: B. 0
Explanation
Squaring the distances yields PQ^2 = 40, QS^2 = 54, and PR^2 = 74. Substituting these into the given expression gives 40 + 108 - 148 = 0.
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