complete the line of intersection between the objects or between the object and the cutting plane, and create a development of the assigned objects.
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A) Circumference,
Slant height
Theta,
complete the line of intersection between the objects or between the object and the cutting plane,...
In each case find () the point of intersection of the line and plane, and (ii) the angle between the line and plane: line plane r"(2i +4j-k}# 28 r-I 2 3-г 2x + 3y + z = 11 (c) 4 +K 3 2x+4y-1 0
(23) Distances: Find the distance between the following geometric objects: (d) Line and Line (e) Line and Plane (f) Plane and Plane (a) Point and Point (b) Point and Line (c) Point and Plane
1 point) Suppose that the line l is represented by r(t)- (12+ 2t, 23 +6t, 8 + 2t) and the plane P is represented by 2x + 4y + 52-23. 1. Find the intersection of the line & and the plane P. Write your answer as a point (a, b, c) where a, b, and c are numbers. Answer 2. Find the cosine of the angle 0 between the line l and the normal vector of the plane P Answer:...
Find the equation of the plane through the line of intersection of the planes x-z = 3 and y+3z = 4 and perpendicular to the plane x+y+z = 1.
Find a plane containing the point (-7,4,8) and the line of intersection of the planes - 2 + 4y + 2z = 21 and 6x + 7y - 5z = 46
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)
Activity 4 For the object shown draw the top view., Place the cutting plane on the top view and draw the ful front section view. Use dimensions for propartions only. Fromt Viea
Four objects are situated on the xy plane 1 as follows: 1.94 kg object is at (+2.91, -1.65) m, a 2.99-kg object is at (+2.60, +3.80) m, a 2.55 object is at (0, 0), and a 3.90-kg object is at (-0.494, 2.45) m. a) What is the x coordinate of the center of mass. b) What is the y coordinate of the center of mass.
In Exercises 21-22, give the equation of the line that is the intersection of the given planes. 21. p1: 3(x-2) +(y 1)+4z 0, and p2: 2(x-1)-2(y+3) +6(2-1) 0 In Exercises 23-26, find the point of intersection between the line and the plane. 26. line: (1,2, 3) +t (3, 5,-1), plane: 3x-2y- z=-4 In Exercises 27-30, find the given distances. 27. The distance from the point (1, 2,3) to the plane 3(x-1)+(y 2)+5(2-2) 0. In Exercises 21-22, give the equation of...
Find the point of intersection of plane 4x+5y-52-4=0 and the following line: (x-4)/5 = (y+3)/3 = z/3 If they have a point of intersection, enter the x-value of point in the following box. If the line is on the plane, enter ON in the box. If the line is not on the plane, and they are parallel, enter P in the box.