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In Exercises 21-22, give the equation of the line that is the intersection of the given...
Find a plane containing the point (2,3,−1) and the line of intersection of the planes 2x+y-2z=22...
Find a plane containing the point (2,3,−1) and the line of intersection of the planes 2x+y-2z=22 and x+2y+3z=-14 The equation of the plane is
Q4. (5 points). Find the equation of the plane that passes through the line of intersection...
Q4. (5 points). Find the equation of the plane that passes through the line of intersection of the two planes x - 2y = 3 and y- z = 0 and parallel to the line x = y - 1 = 2+1 Q5. (4 points). Find the distance from the point A(1,2,3) and the line 2+1 y-1 2 Q6. (4 points). Give the name and sketch the surface whose equation is given by x2 + 2y2 – 12y – z...
vectors. Need help with those questions please 1a). In three-space, find the intersection point of the...
vectors. Need help with those questions please
1a). In three-space, find the intersection point of the two lines: (x, y, z) = (-1,2,0] + [3,-1, 4) and [x, y, ) = -6, 8, -1] + [2,-5, -3). b) Determine a direction vector in integer form of the line of intersection of the two planes 2x + 2y+2-12-0 and (x, y, z)=(2,0,0]+${1,2,0]+(1.0,-2) [2,3] 2. What is the distance between the point (-81) and the plane 5x-2-2y+52 [2] 3. Find the point(s)...
Question 12 Find parametric equations for the line of intersection of the planes - 2y+z= 1...
Question 12 Find parametric equations for the line of intersection of the planes - 2y+z= 1 and 2x + y - 3x = -3. Does the line L intersect the plane 2x - y - 3x = 1? If so, at what point? Note: This is the review exercise at the end of Lecture 2.
I cannot get i) or j) 3. (20 marks) Consider the parallel lines L, : x=...
I cannot get i) or j)
3. (20 marks) Consider the parallel lines L, : x= -3 +8 2 [1] and L2: x = 0 + [2] 4. and 11 [3 -21 the planes P1 : 3x + 2y + 2z = -7 and P2 : 2.x – 2y - 2 = 11. (a) Find the equation of a plane in standard form containing both L, and L. (b) Find an equation of the line of intersection of P, and...
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d =...
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
Find parametric equation for the line of intersection of the planes Find the point of intersection...
Find parametric equation for the line of intersection of the planes Find the point of intersection of a line and line Find an equation of the plane that contains the line and orthogonal to the plane We were unable to transcribe this imagey=0 We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
5. (15 points) Find the line of intersection of the two planes. Show your work. 3x...
5. (15 points) Find the line of intersection of the two planes. Show your work. 3x - 2y +1 2x+y - 3x = 3.
Find the equation of the plane through the line of intersection of the planes x-z =...
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.
3. Consider the two planes, P and P2, where Pi is given by the general equation 2x y+2-5 and P2 passes through the points (0,0,-1), (3,2,4) and (2, 4,5). (a) Find L, the line of intersection of the t...
3. Consider the two planes, P and P2, where Pi is given by the general equation 2x y+2-5 and P2 passes through the points (0,0,-1), (3,2,4) and (2, 4,5). (a) Find L, the line of intersection of the two planes. (b) Suppose another line, L2, has vector equation (x, y, z) = (8,3,-2) + t2(-2, 1, 1). 6 marks] Find where Land L2 intersect 4 marks
3. Consider the two planes, P and P2, where Pi is given by the...
Q4. (5 points). Find the equation of the plane that passes through the line of intersection of the two planes x - 2y = 3 and y- z = 0 and parallel to the line x = y - 1 = 2+1 Q5. (4 points). Find the distance from the point A(1,2,3) and the line 2+1 y-1 2 Q6. (4 points). Give the name and sketch the surface whose equation is given by x2 + 2y2 – 12y – z...
vectors. Need help with those questions please
1a). In three-space, find the intersection point of the two lines: (x, y, z) = (-1,2,0] + [3,-1, 4) and [x, y, ) = -6, 8, -1] + [2,-5, -3). b) Determine a direction vector in integer form of the line of intersection of the two planes 2x + 2y+2-12-0 and (x, y, z)=(2,0,0]+${1,2,0]+(1.0,-2) [2,3] 2. What is the distance between the point (-81) and the plane 5x-2-2y+52 [2] 3. Find the point(s)...
Question 12 Find parametric equations for the line of intersection of the planes - 2y+z= 1 and 2x + y - 3x = -3. Does the line L intersect the plane 2x - y - 3x = 1? If so, at what point? Note: This is the review exercise at the end of Lecture 2.
I cannot get i) or j)
3. (20 marks) Consider the parallel lines L, : x= -3 +8 2 [1] and L2: x = 0 + [2] 4. and 11 [3 -21 the planes P1 : 3x + 2y + 2z = -7 and P2 : 2.x – 2y - 2 = 11. (a) Find the equation of a plane in standard form containing both L, and L. (b) Find an equation of the line of intersection of P, and...
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
5. (15 points) Find the line of intersection of the two planes. Show your work. 3x - 2y +1 2x+y - 3x = 3.
3. Consider the two planes, P and P2, where Pi is given by the general equation 2x y+2-5 and P2 passes through the points (0,0,-1), (3,2,4) and (2, 4,5). (a) Find L, the line of intersection of the two planes. (b) Suppose another line, L2, has vector equation (x, y, z) = (8,3,-2) + t2(-2, 1, 1). 6 marks] Find where Land L2 intersect 4 marks
3. Consider the two planes, P and P2, where Pi is given by the...
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