Question

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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Answer 1

Answer:

If a line has direction ratios of −18,12 and −4, then its direction cosines are

$\frac{8}{ \sqrt{ {( - 18)}^{2} + {(12)}^{2} + {( - 4)}^{2} } }$

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

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

$i.e. \frac{ - 18}{22} \: \frac{12}{22} \: \: \frac{ - 4}{22} = \: \frac{9}{11} \frac{6}{11} \: \frac{ - 2}{11}$

Thus, the direction cosines are −

$\frac{9}{11} \: \frac{6}{11} \: \frac{ - 2}{11}$

Answer 2

Step-by-step explanation:

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