Find symmetric equations of the line through and .

Question

Find symmetric equations of the line through  and  .

Quizplus · Accepted Answer

To find symmetric equations of the line, we need a direction vector. We can calculate the direction vector by subtracting the coordinates of one point from the coordinates of the other point:
(11eaa948_cdc1_2d02_84bc_edc85cf854bc_TB2342_11) - (11eaa948_cdc1_2d01_84bc_c5b636d28c4c_TB2342_11) = <0, 1, 0>

We can use the midpoint of the line segment as the point on the line. The midpoint is:
(1/2)*(11eaa948_cdc1_2d01_84bc_c5b636d28c4c_TB2342_11 + 11eaa948_cdc1_2d02_84bc_edc85cf854bc_TB2342_11) = 11eaa948_cdc1_5415_84bc_adb295fdd77e_TB2342_11

So the symmetric equations are:
x - 11eaa948_cdc1_5415_84bc_adb295fdd77e_TB2342_11 = 0
z - 11eaa948_cdc1_2d01_84bc_c5b636d28c4c_TB2342_11 = 0

The y component does not appear because it is the same for every point on the line. Therefore, the correct choice is C.

Find Symmetric Equations of the Line Through and