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MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry
Problem Find the shortest distance and the vector equation of the line of shortest distance between the lines given by
r = ( 3 i ^ + 8 j ^ + 3 k ^ ) + λ ( 3 i ^ − j ^ + k ^ ) \mathbf{r} = (3\hat{i} + 8\hat{j} + 3\hat{k}) + \lambda(3\hat{i} - \hat{j} + \hat{k}) r = ( 3 i ^ + 8 j ^ + 3 k ^ ) + λ ( 3 i ^ − j ^ + k ^ ) and r = ( − 3 i ^ − 7 j ^ + 6 k ^ ) + μ ( − 3 i ^ + 2 j ^ + 4 k ^ ) \text{and } \mathbf{r} = (-3\hat{i} - 7\hat{j} + 6\hat{k}) + \mu(-3\hat{i} + 2\hat{j} + 4\hat{k}) and r = ( − 3 i ^ − 7 j ^ + 6 k ^ ) + μ ( − 3 i ^ + 2 j ^ + 4 k ^ ) Browse the problem library