Question

Given \[\vec r=\vec a_1+\lambda\vec b_1\] and \[\vec r=\vec a_2+\mu\vec b_2\], what are \[\vec a_1\] and \[\vec a_2\]?

Options

• Direction vectors of the lines

• Shortest-distance vectors of the lines

• Position vectors of points on the lines

• Parameters of the lines

Answer 1

In the vector equations of the two lines, \[\vec a_1\] and \[\vec a_2\] are position vectors of points on the lines. The parameters are \[\lambda\] and \[\mu\].