Find an equation of the plane that passes through the point P(-2, -3,4) and has the...
Find the normal form of the equation of the plane that passes through Find the vector form of the equation of the line in ℝ2 that passes through P = (5, −2) and is parallel to the line with general equation 5x − 4y = 2.
Find the general equation and a vector equation of the plane that passes through the points p(1,2,4) Q(1,-1,6) R(1,4,8)
4.3 Find the equation of a plane that passes through (1,-2,4), (2,4,-4), and (1.25,-0.5, 2) using cross products and normal vectors. To find the equation of the plane, pick a point not on the plane.
5. Find the equation of the plane which passes through the point (6,0,-2) and contains the line x = 4-2, y = 3 + 5t, and z 7+4t.
Find an equation of the plane that passes through the point (9,4,0) and contains the line x = −4−t , y = −2+6 t , z = 4+8 t
Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (2,0, 6), and (-3, -1, 9). Find the distance between the point and the plane. (0, 0, 0) 3x + 7y + z = 21 The position vector r describes the path of an object moving in space. Find the velocity v(t), speed s(t), and acceleration a(t), of the object. r(t) = ti + Rj+ K
09: Find the equation of the plane that passes through (1,1,1) and has (-1,2,4) as normal. Q10: Decide whether the planes are parallel, orthogonal or neither: 2x+y=3 3x-y+4z=10
18. Find the equation of a plane that passes through the points (2, -2, 1), -1, 0, 3) [5 marks] and (5,-3, 4). Does the point (2, 1, -3) lie on the plane?
Find parametric equations of the plane that passes through the origin and has normal vector (3, 1, −6).
Find the equation of the plane 2 Find the equation of the plane containing the point (1,0,4) (1,0,4) and normal to the 52,','> Vector