Find the angle between the lines `x-sqrt 3y=1` and `sqrt 3x-y=1`.

Find the acute angle between the lines x - sqrt3 y = 1 and sqrt3 x -y = 4

Find the distance between the parallel lines 3x-4y+9=0 and 6x-8y-15=0 .

Find the angle between the pari of lines given by (x -1)/(2) = (y -2)/(3) = (z -3)/(4) and (x -3)/(4) = (y -2)/(3) = (z -1)/(2).

Find the value of m for which the lines 4x -3y - 1 = 0, 3x - 4y + 1 = 0 and mx - 7y + 3 = 0 are concurrent.

Find the angle between the vectors veca and vecb if |vecaxx vecb| = sqrt(3) |veca| =2 and |vecb|=1

The distance between the points (x, 2, 0) and (1, 3, 1) is sqrt6 . Find x.

Draw the graph of the following equation and determine the vertices of the triangle formed ny the lines with y-axis. x-y=1, 2x+3y=12