MathematicsMediumHigh School (11–12)Vectors and Three-Dimensional Geometry › Three-Dimensional GeometryA-LevelIBAEEE (Amrita)AMUEEEAP EAPCETBCECE
Created by StemPy LabA sailor models two ropes of a rigging as the lines through with direction ratios and through with direction ratios . Lengths are in metres. What is the shortest distance between the ropes?
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← A line passes through (1, 0, 2) with direction ratios (2, 1, -1). A second line passes through (0, 2, 1) with direction ratios (1, -1, 3). What is the value of (a₂ - a₁) · (b₁ × b₂), and what does it show?A tent has two parallel guy ropes along the lines through (1, 1, 1) and (7, 1, -2), both with direction ratios (2, 2, 1). Lengths are in metres. What is the distance between the two ropes? →
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