Determine whether the line x = 7 – 4t, y = 3 + 6t, z = 9 + 5t and the plane 4x + y + 2z = 17 intersect or are parallel. If they intersect, then find the point of intersection
Determine whether the line x = 7 – 4t, y = 3 + 6t, z = 9 + 5t and the plane 4x + y + 2z = 17 intersect or are parallel....
Problem 9. Determine whether the lines -1+5t;y 3+4t; 2+t and { 드1-y 2 = 프t:3} are parallel, skew, or intersect. In each case, find the distance and the angle between the lines,
24. By analyzing the normals, determine if the three planes intersect in a point. π1: x-5y + 2z-10-0 (2 marks) 25. Find the value of k so that the line [x, y, z] = [2,-2, 0] + r[2 kx+Zy-4: = 12. -3] is parallel to the plane (2 marks)
24. By analyzing the normals, determine if the three planes intersect in a point. π1: x-5y + 2z-10-0 (2 marks) 25. Find the value of k so that the line [x,...
Find an equation of a plane through the point (1, 5, 1) which is orthogonal to the line x=3+5t y=5-1t z=-1+4tin which the coefficient of x is 5.
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.
(1 point) Determine whether the lines li: x = 8 + 2s, y = 19 + 5s, z = 3 + 2s, SER and l2: x = -4 + 3t, y = -10 + 7t, z = -13 + 5t, tER intersect, are skew, or are parallel. If they intersect, determine the point of intersection; if not leave the remaining answer blanks empty. Do/are the lines: ? Point of intersection:
Please provide clear handwritings for answers and specific step
by step explanations of questions 3 and 4. Thank you.
3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find the distance between them. If they are not parallel, but are intersecting (at a single point), find the point of intersection. If they are none of the above, draw a cat. 4. The line r(t) = 〈1, 1,1〉 +t(1,3,-1) and the plane...
Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or skew. If they intersect, find the point of intersection Given SI: x2-2y2 = 4z2-252 &s2: (0 Show that the tangent planes to the two surfaces at P(2,0,-8) are perpendicular. whether the lines parallel, 2-z & 12 Marks] 4x2 +9y2-24. (B) Find the points on Si at which the tangent plane is parallel to the plane x+y+32-5 3 Marks]
Question (2): (5 Marks) x-1-3-y x-1-6-y:+2 are (A) Determine intersecting or...
Determine if lines L1 and L2 are parallel, oblique or cut. If they intersect, determine the point of intersection. L1 = x / 1 = y-1 / -1 = z-2/3 L2 = x-2/2 = y-3 / -2 = x / 7
The graphs of the surfaces z=(x²+y²)² and z=3-2 x²-2 y² intersect in 3D-Space. Find an equation for the projection of this intersection in the x y-plane.
Determine whether the given lines intersect. If so, find the point of intersection. (If not, enter NOT.) x = 6 + t, y = 3 + t, z = -1 + 2t x = 8 + 2s, y = 9+ 4s, z = -3 + S (x, y, z) = eBook