One vertex of a rectangular | Vector & 3D Geometry JEE Main

JEE-Main 2023

08-04-2023_S1

Question

One vertex of a rectangular parallelopiped is at the origin O and the lengths of its edges along x, y and z axes are 3, 4 and 5 units respectively. Let P be the vertex (3, 4, 5). Then the shortest distance between the diagonal OP and an edge parallel to z axis, not passing through O or P is:

Select the correct option:

$\frac{12}{\sqrt{5}}$

$\frac{12}{5 \sqrt{5}}$

$12 \sqrt{5}$

$\frac{12}{5}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution