Find the parametric form of vector equation and Cartesian equations of a straight line passing through `(5,2,8)`and is perpendicular to the straight lines

Find the parametric form of vector equation and Cartesian equtions of the straight line passing through the point (-2,3,4) and parallel to the straight line (x-1)/(-4)=(y+3)/(5)=(8-z)/(-6)

Find the non-parametric form of vector equation, and Cartesian eqution of the plane passing through the point (2,3,6) and parallel to the straight lines (x-1)/(2)=(y+1)/(3)=(z-3)/(1)and(x+3)/(2)=(y-3)/(-5)=(z+1)/(-3).

Find the parametric form of vector equation, and Cartesian equations of the plane passing through the points (2,2,1),(9,3,6) and perpendicular to the plane 2x + 6y + 6z = 9.

Find the non-parametric form of vector equation and Cartesian equation of the plane passing through the point (1,-2,4) and perpendicular to the plane x + 2y - 3z = 11 and parallel to the line (x+7)/(3)=(y+3)/(-1)=(z)/(1).

Find the parametric form vector eqution and Cartesian equations of the plane passing through the points (2,2,1),(1,-2,3) and parallel to the straight line passing through the points (2,1,-3)and(-1,5,-8).

Find the direction cosines of the straight line passing through the points (5,6,7)and(7,9,13). Also, find the parametric form of vector equation and Cartesian equtions of the straight line passing through two given points.

Find the non-parametric form of vector equation and Cartesian equations of the straight line passing through the point with position vector 4hat(i)+3hat(j)-7hat(k)" and parallel to the vector "2hat(i)-6hat(j)+7hat(k).