Question:
If the line through the points A(k,1,-1) and B(2k,0,2) is perpendicular to the line through the points B and C(2+2k,k,1), then the value of k is
If the line through the points A(k,1,-1) and B(2k,0,2) is perpendicular to the line through the points B and C(2+2k,k,1), then the value of k is
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Perpendicular lines have zero dot product of direction vectors.
Updated On: Mar 19, 2026
- -1
- 1
- -3
- 3
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The Correct Option is D
Solution and Explanation
Direction vectors:
vecAB=(k,-1,3),
vecBC=(2,k,-1)
Perpendicular ⟹ vecAB·vecBC=0:
2k-k-3=0⟹ k=3
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