The Student Room Group

Plane geometry

I know that the cartesian equation of a line is



and the vector equation is

r = a +tb or r x b = a x b

But what is the scalar equation of a line?

Thanks
(edited 10 years ago)
Reply 1
"scalar" equations are actually just the parametric equations - given by just equating the corresponding coefficients of i, j, and k in your r=a+tb

EDIT: notice you can get them for your x,y, and z in the above symmetric (cartesian) equations by individually equating each to "t" and multiplying by the b"b" terms, subtracting the "a_1", etc term)
(edited 10 years ago)

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