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Find the direction cosines of the two li...

Find the direction cosines of the two lines which are connected by th relations. `l-5m+3n=0` and `7l^2+5m^2-3n^2=0`

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Consider the given equation, `l−5m+3n=0`
`l=5m−3n --------(1)`
Substitute the l in `7l^2+5m^2−3n^2=0`
we get `2m-n=0` and `3m−2n=0 `
case (1) : `3m−2n=0 =>m=(2n)/3​`
Substitute for m in (1)
`l=n/3`
...
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