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TS EAMCET · Maths · Three Dimensional Geometry

If \(\mathbf{r}=\mathbf{b}+t \mathbf{a}, \mathbf{r}=\mathbf{d}+s \mathbf{c}\) are the two skew lines, then the shortest distance between them is

  1. A Magnitude of vector b x d.
  2. B Sum of orthogonal projection of b on d and projection of d and b.
  3. C Orthogonal projection of (a - c) on (b x d).
  4. D Orthogonal projection of (b - d) on (a x c).
Verified Solution

Answer & Solution

Correct Answer

(D) Orthogonal projection of (b - d) on (a x c).

Step-by-step Solution

Detailed explanation

Given, \(\mathbf{r}=\mathbf{b}+\) ta and \(\mathbf{r}=\mathbf{d}+s \mathbf{c}\)…