If a line has the direction ratios $4, - 12, 18$ then find its direction cosines.

- \frac{2}{11}, - \frac{6}{11}, - \frac{9}{11}

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- \frac{2}{11}, \frac{6}{11}, - \frac{9}{11}

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\frac{2}{11}, - \frac{6}{11}, \frac{9}{11}

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\frac{2}{11}, \frac{6}{11}, \frac{9}{11}

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Solution

The correct option is C $\frac{2}{11}, - \frac{6}{11}, \frac{9}{11}$
DR of a line $< 4, - 12, 18 >$
DC $= \frac{4}{\sqrt{4^{2} + (- 12)^{2} + (18)^{2}}}, \frac{- 12}{\sqrt{4^{2} + (- 12)^{2} + (18)^{2}}}, \frac{18}{\sqrt{4^{2} + (- 12)^{2} + (18)^{2}}}$
$= \frac{4}{22}, \frac{- 12}{22}, \frac{18}{22}$
$=< \frac{2}{11}, \frac{- 6}{11}, \frac{9}{11} >$

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Similar questions

A point P(-3,2) is the midpoint of a line segment AB.If coordinates of B are (5, -2),find the coordinates of A.

\frac{4}{5} \times \frac{11}{2} - \frac{9}{10} \times \frac{11}{2} = \frac{11}{2} \times

().

Q. Question 2
Represent

\frac{- 2}{11}, \frac{- 5}{11}, \frac{- 9}{11}

on the number line.

Q. Represent

\frac{- 2}{11}, \frac{- 5}{11}, \frac{- 9}{11}

on the number line.

Question 3
In a “magic square”. The sum of the numbers in each row, in each column and along the diagonals is the same. Is this a magic square?
$\begin{matrix} \frac{4}{11} & \frac{9}{11} & \frac{2}{11} \frac{3}{11} & \frac{5}{11} & \frac{7}{11} \frac{8}{11} & \frac{1}{11} & \frac{6}{11} \end{matrix}$
$(Along the first row \frac{4}{11} + \frac{9}{11} + \frac{2}{11} = \frac{15}{11})$

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If a line has the direction ratios 4,−12,18 then find its direction cosines.

The correct option is C 211,−611,911DR of a line <4,−12,18>DC =4√42+(−12)2+(18)2,−12√42+(−12)2+(18)2,18√42+(−12)2+(18)2=422,−1222,1822=<211,−611,911>

If a line has the direction ratios $4, - 12, 18$ then find its direction cosines.