Find the equation of the line passing through the point (1,1,1) which is perpendicular to the...
Find the equation of the line passing through the point (1,1,1) which is perpendicular to the plane containing the points (1,0,0), (2,1,1) and (1,1,2).
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Find the equation of the line passing through the point (1,1,1)
which is perpendicular to the...
Find the equation of the line passing through the point (1,2,4) and perpendicular to the plane...
Find the equation of the line passing through the point (1,2,4) and perpendicular to the plane x−y + z = 3
Find the equation of the line passing through the point (1,2,3), and perpendicular to the plane...
Find the equation of the line passing through the point (1,2,3), and perpendicular to the plane x + y + z = 6.
find the point of intersection of the line 1) Find the equation of the line passing...
find the point of intersection of the line
1) Find the equation of the line passing through the points A(1,-5,-3)and B(2,-4,8) (3 marks) b) Find the equation of the plane perpendicular to the line in part (a) given that C(1,-9,6) is a point on the plane. (3 marks) c) Find the point of intersection of the line and the plane in parts (a) and (b) above respectively. (3 marks)
(a) find the vector equation (b) the cartesian equation of the straight line passing through the...
(a) find the vector equation (b) the cartesian equation of the straight line passing through the points A(2,-1,3) and parallel to line through the points B(3,2,-1) and C(-1,1,2). verify that the point (-2,-2,6) is on the required line
a) Let L be the line through (2,-1,1) and (3,2,2). Parameterize L. Find the point Q...
a) Let L be the line through (2,-1,1) and (3,2,2). Parameterize L. Find the point Q where L intersects the xy-plane. b) Find the angle that the line through (0,-1,1) and (√3,1,4) makes with a normal vector to the xy-plane. c) Find the distance from the point (3,1,-2) to the plane x-2y+z=4. d) Find a Cartesian equation for the plane containing (1,1,2), (2,1,1) and (1,2,1)
72. Points and lines. Let L be the line passing through the points A (1,1,2) and...
72. Points and lines. Let L be the line passing through the points A (1,1,2) and B=(3,5,6). (a) Use a vector projection to find the closest point P on L to the point C = (2,1,1). (b) Find the distance between P and C.
2. (10 points) Write the equation of the line passing through the point (2,-2) and perpendicular...
2. (10 points) Write the equation of the line passing through the point (2,-2) and perpendicular to the line 2x + 3y - 4= 0
Find the equation of the line passing through (5,− 3) and perpendicular to the line 2x...
Find the equation of the line passing through (5,− 3) and perpendicular to the line 2x + 3y = 7 . Find the equation of the line passing through (5, 2) and (− 3, 2) . Graph the following functions and find the x − intercept, y - intercept, slope in each case. 7x − 4y = 10 2y − x − 1 = 0
Find the scalar equation for the plane passing through the point P(-1,0,5) and containing the line...
Find the scalar equation for the plane passing through the point P(-1,0,5) and containing the line L defined by x = 4-6t y=-2+2t z=4-2t
(5) Equations for Planes. (a) Find an equation of the plane passing through (1,2,3) that is...
(5) Equations for Planes. (a) Find an equation of the plane passing through (1,2,3) that is parallel to the plane r -y + 2z = 5. (b) Find an equation of the plane passing through the point (0,1,0) and containing the line r = (-t, 2t, 4t).
find the point of intersection of the line
1) Find the equation of the line passing through the points A(1,-5,-3)and B(2,-4,8) (3 marks) b) Find the equation of the plane perpendicular to the line in part (a) given that C(1,-9,6) is a point on the plane. (3 marks) c) Find the point of intersection of the line and the plane in parts (a) and (b) above respectively. (3 marks)
72. Points and lines. Let L be the line passing through the points A (1,1,2) and B=(3,5,6). (a) Use a vector projection to find the closest point P on L to the point C = (2,1,1). (b) Find the distance between P and C.
2. (10 points) Write the equation of the line passing through the point (2,-2) and perpendicular to the line 2x + 3y - 4= 0
(5) Equations for Planes. (a) Find an equation of the plane passing through (1,2,3) that is parallel to the plane r -y + 2z = 5. (b) Find an equation of the plane passing through the point (0,1,0) and containing the line r = (-t, 2t, 4t).
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