LikeA'13OSS Posted May 29, 2012 Report Share Posted May 29, 2012 How can an angle between two intersecting lines be found if the equation of both lines are given? Reply Link to post Share on other sites More sharing options...
HiggsHunter Posted May 29, 2012 Report Share Posted May 29, 2012 Express the equations of the lines in the form:y = m1*x + c1 and y = m2*x + c2Then the angle between them theta is given by:tan (theta) = Mod [(m2 - m1)/(1 + m1*m2)] 2 Reply Link to post Share on other sites More sharing options...
CocoPop Posted June 3, 2012 Report Share Posted June 3, 2012 (edited) I can't remember if you look at the dot product in maths HL, but you can write the equation of a line in vector form:r = p + λbWhere b is the direction vector.If you have two direction vectors b1 and b2 for two different lines then you know that b1 • b2 = |b1||b2|cos(theta) where theta is the angle between the two. Edited June 3, 2012 by CocoPop Reply Link to post Share on other sites More sharing options...
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