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<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/CEN_CG_C02_S01_023_S01.png" width="80%"> <br> Data given in the question is for normal form of the line. <br> Standard equation of normal form is `x "cos" alpha + y "sin" alpha =p.` <br> `therefore p=5 "units and " alpha = 30^(@)`. <br> Thus, the required equation of the given line is <br> `x "cos" 30^(@) + y "sin" 30^(@) = 5` <br> `"or " sqrt(3) x+y = 10`**Coordinates of point in space; sign of coordinates of a point**

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**Find the angle between the lines whose direction cosines are given by the equations `3l + m + 5n = 0` and `6mn - 2nl + 5lm = 0`**