Question

The shortest distance between the lines \( x = y + 2 \), \( z = 6x - 6 \) and \( x + 1 = 2y = -12z \) is:

• A. \( \frac{1}{2} \)
• B. \( 2 \)
• C. \( \frac{3}{2} \)
• D. \( 3 \)

Hint:

The shortest distance between two skew lines can be found using the vector cross-product formula.

Answer 1

The Correct Option is B

To calculate the shortest distance between the two skew lines, we use the formula for the distance between two skew lines. After solving, we find the shortest distance to be 2 units.

Step 2: Conclusion.
Thus, the correct answer is 2.