Question

A line passes through \[P(x_1,y_1,z_1)\] and \[Q(x_2,y_2,z_2)\]. Which is one set of direction ratios of the line?

Options

• \[(x_2-x_1,\ y_2-y_1,\ z_2-z_1)\]

• \[(x_1x_2,\ y_1y_2,\ z_1z_2)\]

• \[(x_2+x_1,\ y_2+y_1,\ z_2+z_1)\]

• \[(x_1-x_2,\ y_1+y_2,\ z_1-z_2)\]

Answer 1

The direction ratios from \[P\] to \[Q\] are found by subtracting the coordinates of \[P\] from the corresponding coordinates of \[Q\]. Thus they are \[(x_2-x_1,y_2-y_1,z_2-z_1)\].