Science, asked by zacknight47, 2 months ago

Q- If a line has the direction ratios –18, 12, –4, then what are its direction cosines?(Please dont answer wrong)


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Answers

Answered by Anonymous
42

Answer:

\huge{\bf{\underline{\red{Answer :}}}}

Directions ratios of the line are –18, 12, –4,\sqrt{(-18)² + (12)² + (-4)²}

\RightarrowDividing Each

\Large\sqrt{{(-18)}^{2} + {(12)}^{2} + {(-4)}^{2}}

 = \Large \sqrt{324 + 144 + 16}

 = \Large \sqrt{484}

 = \Large22

\RightarrowThe Direction cosines of the line are

\Large -  \frac{19}{11} , \frac{6}{11} and \:  \frac{ - 2}{12}

Answered by Anonymous
11

Answer:-

Directions of ratios of the line are -18, 12, -14

 \sqrt{ {( - 18)}^{2} +  {(12)}^{2}  +  {( - 4)}^{2}  }

===> Dividing Each

 \sqrt{ {( - 18)}^{2}  +  {(12)}^{2}  +  {( - 4)}^{2} }

 \sqrt{324 + 144 + 16}

 \sqrt{148}

==> The direction cosines of the line are

 -  \ \frac{19}{11}  \:  \:  \:  \frac{6}{11 \:} and \frac{ - 2}{12}

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