The coordinates of the point where the line (x+1)/2 = (y+2)/3 = (z+3)/4 intersects the yz-plane is:
The coordinates of the point where the line (x+1)/2 = (y+2)/3 = (z+3)/4 intersects the yz-plane is:
- A. (0, −1/2, 1)
- B. (0, 1/2, −1)
- C. (0, −1/2, −1)
- D. (0, 1, 2)
Answer: C) (0, −1/2, −1)
Explanation: For the yz-plane, x = 0. So, (0+1)/2 = 1/2. Thus, (y+2)/3 = 1/2 → y = −1/2. And (z+3)/4 = 1/2 → z = −1. Point is (0, −1/2, −1).
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