Given that a, b, and c are not all zero, find parametric equations for a line in R3 that passes through the point (x0, y0, z0) and is perpendicular to the line x = x0 + at, y = y0 + bt, z = z0 + ct
Given that a, b, and c are not all zero, find parametric equations for a line in R3 that passes through the point (x0, y0, z0) and is perpendicular to the line x = x0 + at, y = y0 + bt, z = z0 + ct
Find any vector $\displaystyle <\alpha,\beta.\gamma>$ such that $\displaystyle a\cdot\alpha+b\cdot\beta+c\cdot\gamma=0$.
Then the line is $\displaystyle <x_0,y_0,z_0>+t<\alpha,\beta.\gamma>$.