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Vector Algebra · 2008 · Shift 2

3 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2008 · Shift 2
Mathematics
Vector Algebra

Vector Algebra · 2008 · Shift 2

3 Mathematics questions from this JEE Advanced paper

Q25.Consider the lines, $L_{1} : \frac{x + 1}{3} = \frac{y + 2}{1} = \frac{z + 1}{2} L_{2} : \frac{x - 2}{1} = \frac{y - 2}{2} = \frac{z - 3}{3}$ The shortest distance between $L_{1}$ and $L_{2}$ is :
Mathematics · Vector Algebra · MCQ
Q27.Consider the lines $L_{1} : \frac{x + 1}{3} = \frac{y + 2}{1} = \frac{z + 1}{2} L_{2} : \frac{x - 2}{1} = \frac{y + 2}{2} = \frac{z - 3}{3}$ The unit vector perpendicular to both $L_{1}$ and $L_{2}$ is :
Mathematics · Vector Algebra · MCQ
Q28.Let two non-collinear unit vectors $a$ and $b$ form an acute angle. A point $P$ moves so that at any time $t$ the position vector $O P$ (where $O$ is the origin) is given by $a cos t + b sin t .$ …
Mathematics · Vector Algebra · MCQ