What are the direction consines of the normal to the plane `3x + 2y - 3z = 8` ?

Write the direction cosines of any normal of the Xy-plane.

Find the distance of the point (2,3, - 5) from the plane x + 2y - 2z = 9.

Find the distance of the point (6, 2, -5) from the plane 2x + 3y - 2z = 8.

Answer the question Find the value of lamda for which the planes 2x - 4y + 3z = 7 and x + 2y + lamda z = 18 are perpendicular to each other.

What is the slope of the normal to the curve y=2x^(2) + 3 sin x at x = 0?

Find the direction cosines of the line (4-x)/(2)=(y)/(6)=(1-z)/(3) .

What are the intercepts made by the plane 3x - 6y + z = 9 with the coordinate axes ?

What is the angle between the planes x + y + 2z = 6 and 2x - y - z =9 ?

Find the equation of a plane in intercept form. Express the equation of the plane 2x + 3y + 4z = 12 to its intercept form.

Find the equation of the normal to the curve x^(2//3) + y^(2//3) = 2 at the point (1, 1).