Engineering Board Exam Reviewer · Division of Line Segment · medium
ECE Board April 1998: The segment from (-1,4) to (2,-2) is extended three times its own length. The terminal point is
- (11,-24)
- (-11,-20)
- (11,-18)
- (11,-20)
Answer
D. (11,-20)
Solution
Extending the segment 3 times its own length beyond the terminal point means the new point is 4 times the original displacement from the start: P=(-1,4)+4[(2,-2)-(-1,4)]=(-1+12,,4-24)=(11,-20).
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