MathematicsHardHigh School (11–12)Vectors and Three-Dimensional Geometry › Three-Dimensional GeometryA-LevelIBAEEE (Amrita)AMUEEEAP EAPCETBCECE
Created by StemPy LabThe shortest distance between two lines that are not parallel is found to be . What does this tell you about the two lines?
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← Two pipes follow the lines through (1, -1, 0) with direction ratios (1, 2, -1) and through (1, 0, -3) with direction ratios (2, k, 1). The pipes must meet at a joint. For which value of k is this possible?The figure shows a blue line parallel to the x-axis through (0, 1, 1) and a red line parallel to the y-axis through (-1, -3, 3), with lengths in metres. A cable car designer needs the shortest distance between the two lines. What is it? →
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