Find the vector equation of the line passing through the point `(2,-1,-1)` which is parallel to the line `6x-2=3y+1=2z-2.`

The vector equation of the line passing through the point (-1, -1 ,2) and parallel to the line 2x - 2= 3y +1 = 6z -2 is

Find the vector equation of the line passing through the point A(1,2,1) and parallel to the line 5x25=147y=35z

Find the vector equation of the line through the point (2,-1,-1) and is parallel to the line 6x-2=3y+1=2z-2 .

Find the vector equation of the line passing throught the point ( -1, - 1, 2 ) and parallel to the line 2x - 2 = 3y + 1 = 6 z - 2 .

Find the vector equation of the line passing through the point A(1, 2, –1) and parallel to the line 5x – 25 = 14 – 7y = 35z .

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z-5=0

Find the direction cosines of the line (x + 2)/2 = (2y-7)/6 = (5 -z)/6 Also find the vector equation of the line passing through the point (-1, 2, 3) and parallel to the given line.

Find the Cartesian and vector equation of the plane passing through the point (2,0,-1) and parallel to to the lines. x/-3=(y-2)/4=z+1 and x-4=(1-y)/2=2z .

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 2 x-y+3z-5=0.