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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  3-D Geometry
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A line segment of length $21$ has $d.r.=(2,-3,6)$ and makes obtuse angle with $x\:axis$, then the components of the line segment (vector) are?

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Let the components of the line segment (vector) be $(x,y,z)$
Given the length of the vector =21.
Also given that $d.r.$ of the line segment is $(2,-3,6)$.
From (i) and (ii) we get $ 4\lambda^2+9\lambda^2+36\lambda^2=441$
But since the line makes obtuse angle with $x\:axis$ $\Rightarrow\:x$ is -ve.
$\therefore$ $\lambda=-3$ and the components are $(-6,9,-18)$
answered Jan 10, 2014 by rvidyagovindarajan_1

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