(1 point) The distance d of a point P to the line through points A and...
The distance d of point P to the line through points A and B is the length of the component of AP that is orthogonal to AB, as indicated in the diagram. So the distance from P = (4,3) to the line through the points A = (-2,5) and B (-3, -5) is _______
(1 point) The distance d of a point P to the line through points A and B is the length of the component of AP that is orthogonal to AB, as indicated in the diagram. So the distance from P = (0, 2) to the line through the points A = (-1,-1) and B=(3,0) is
The distance d of a point P to the line through points A and B is the length of the component of AP that is orthogonal to AB, as indicated in the diagram. So the distance from P = (-3,2,3) to the line through the points A = (2, -4, 2) and B = (0,3,-1) is _______
Problem-1 (10 points): The line L through the point p(-1,0,1) is orthogonal to the surface S-((r, y.3)r In:+sin(y:)- 0 at p. Then L intersects the plane :-0 at the point Problem-1 (10 points): The line L through the point p(-1,0,1) is orthogonal to the surface S-((r, y.3)r In:+sin(y:)- 0 at p. Then L intersects the plane :-0 at the point
Which one of the following is a normal vector for the plane through the point P(1.-3 . . . O A.(-5,4,3) O B. (7,-6, -5) O C.(-5, -4,3) O D.(-11,8,7) O E. (4, -2,-2) . . Question 4 of 40 1.0 Points Which one of the following is a normal vector for the plane through the point P(1, -3, 5) which is parallel to both ü = (1,-1, 3) and 1 = (2,1,2) • O A.(-5,4,3) • O B. (7.-6,...
Differential Geometry Exercise 2 Determine the distance of the point p- (2, 3,-1) from the line through the points q1
Let L1 be the line passing through the point P 2, 2,-1) with direction vector a=[-1, 1,-2]T, and let L2 be the line passing through the point P2-(-5, -5,-3) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that dQ1Q2) d. Use the square root symbol' where needed to give an exact value for your answer. d 0 Q1-(0, 0, 0)...
Let L be the line passing through the point P=(4, 5, −2) with direction vector →d=[2, 2, 0]T. Find the shortest distance d from the point P0=(1, 1, −2) to L, and the point Q on L that is closest to P0. Use the square root symbol '√' where needed to give an exact value for your answer.
Question 1 (10 points] Let L be the line passing through the point P=(4, -2,5) with direction vector d=[5, 2, 2]', and let T be the plane defined by –2x-3y=z=-5. Find the point Q where L and T intersect. Q=(0,0,0)
for problem 2, part b, perpendocular to rod ABC not ABD! Problem 1. The force P is applied to the cable at the frictionless pulley C to hold the 1200N weight in the equilibrium position shown in the figure. Determine: (a) the magnitude of the force P, (b) tension in cable AB, and (c) tension in cable BC, Please draw the free body diagram of the particle under consideration clearly. B 28 200N Problem 2. A force F of magnitude...