CUET · MATHS · PYQ PAPER 2025
The shortest distance between lines \(\frac{-x-3}{4}=\frac{y-6}{3}=\frac{z}{2}\) and \(\frac{-x-2}{4}=\frac{y}{1}=\frac{z-7}{1}\) is :
- A \(\frac{1}{9}\) units
- B 81 units
- C 9 units
- D 7 units
Answer & Solution
Correct Answer
(C) 9 units
Step-by-step Solution
Detailed explanation
\(\vec{a_1} = (-3, 6, 0)\), \(\vec{b_1} = (-4, 3, 2)\) \(\vec{a_2} = (-2, 0, 7)\), \(\vec{b_2} = (-4, 1, 1)\) \(\vec{a_2} - \vec{a_1} = (1, -6, 7)\) \(\vec{b_1} \times \vec{b_2} = (3-2)\mathbf{i} - (-4+8)\mathbf{j} + (-4+12)\mathbf{k} = (1, -4, 8)\)…
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