Find the equation for the plane through the points Po(-2, -3,5), Q,(1,4, - 3), and R....
Find the equation for the plane through the points Po(-5, -2,4), Q.(-3,-1,1), and Ro(-1,4,1). The equation of the plane is (Type an equation.)
Find the equation for the plane through the points Po(2,-2,4), Qo(-5,5,-1), and Ro(2,-1,-2). The equation of the plane is (Type an equation.) Find the equation for the plane through the points Po(2,-2,4), Qo(-5,5,-1), and Ro(2,-1,-2). The equation of the plane is (Type an equation.)
2. Let P(2, 2), Q(3,5) and R(4,3) be three points in the xy plane. (a) Determine the vectors a = PO, b =PŘ, and c =RQ and draw them on the xy plane below. (b) Calculate a - b and compare it to c. What do you notice? Explanation? R 2
3. Determine plane equation passing through points A(3,1, -1), B(2, 3, 4), C(-2, -3,5) Show calculation steps clear and cleanly.
Find a plane through the points (2, – 3,5), (3,5,5), (6, 7,5) Preview
Find the equation for the plane through Po(-4.1. - 3) perpendicular to the following line. x= - 4 +t, y = 1-2t, z = - 4t, -00 <t<00 The equation of the plane is 2
Question 3 a) Find the cartesian equation of the line that passes through the origin and lies perpen- (3 dicular to the plane 3x - 5y +2z 8. marks] b) Find the cartesian equation of the plane that lies perpendicular to the line 3 marks] and passes through the point 1 cExplain why a unique plane passing through the three points A(-2,-1,-4), B(0,-3,0) [2 marks) and C(2,-5,4) cannot be defined. Question 3 a) Find the cartesian equation of the line...
(3 points) Find an equation of the plane through the three points given: P = (0,3,0), Q = (-3,7,2), R = (-3,2,4) = 18
(a). Find the equation of the plane through Po = (1,2,1) with normal vector i = (3,1,2) (b). Find the equation of a plane through Po = (2,3,1) and parallel to the plane P:3x + 2y -- z = 4 | Q4. Consider the line z-3 y-2 3 L, : * - - - L2: **** 2+5 y-3 -1 2 (i). Write the equations of both lines in parametric form (ii). Find the direction vectors V1, V2 of the lines...
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)