Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems The co-ordinates of the point on the line which is nearest to the origin is
MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry
Problem The co-ordinates of the point P P P r = ( i ^ + j ^ + k ^ ) + λ ( − i ^ + j ^ − k ^ ) \mathbf{r} = (\hat{i} + \hat{j} + \hat{k}) + \lambda (-\hat{i} + \hat{j} - \hat{k}) r = ( i ^ + j ^ + k ^ ) + λ ( − i ^ + j ^ − k ^ ) ( 2 3 , 4 3 , 2 3 ) \left(\frac{2}{3}, \frac{4}{3}, \frac{2}{3}\right) ( 3 2 , 3 4 , 3 2 ) ( − 2 3 , − 4 3 , 2 3 ) \left(-\frac{2}{3}, -\frac{4}{3}, \frac{2}{3}\right) ( − 3 2 , − 3 4 , 3 2 ) ( 2 3 , 4 3 , − 2 3 ) \left(\frac{2}{3}, \frac{4}{3}, -\frac{2}{3}\right) ( 3 2 , 3 4 , − 3 2 ) Browse the problem library