How there are 3 possibilities for the intersection of 2 planes?

Expert Solution

milcah answered 2 years ago

Find the parametric equations of the line of intersection of the planes x − z =...

Find the parametric equations of the line of intersection of the planes x − z = 1 and y + 2z = 3. (b) Find an equation of the plane that contains the line of intersection above and it is perpendicular to the plane x + y − 2z = 1.

Question: (a) Find parametric equations for the line of intersection of the planes given by 3x...

Question: (a) Find parametric equations for the line of intersection of the planes given by 3x − 2y + z = 1 and 2x + y − 3z = 3. (b) Find the equation of the plane orthogonal to both of these planes and passing through the point (−2, 1, 1).

Give an arc-length paramaterization of the line which is the intersection of the tangent planes of...

Give an arc-length paramaterization of the line which is the intersection of the tangent planes of z=x^2+y^3 at (1,-1,0) and (1,2,9)

In this question you will find the intersection of two planes using two different methods. You...

In this question you will find the intersection of two planes using two different methods. You are given two planes in parametric form, Find vectors n1 and n2 that are normals to Π1 and Π2 respectively and explain how you can tell without performing any extra calculations that Π1 and Π2 must intersect in a line. Find Cartesian equations for Π1 and Π2. For your first method, assign one of x1, x2 or x3 to be the parameter ω and...

Find the point of intersection of the lines (x-2)/- 3 = (y-2)/6 = z-3 & (x-3)/2...

Find the point of intersection of the lines (x-2)/- 3 = (y-2)/6 = z-3 & (x-3)/2 = y+5 = (z+2)/4. Write the answer as (a, b, c). If they are not cut, write: NO

Suppose that ? is the intersection of the plane ?+?+3?=4 and the surface ?^2−?^2=?^2−8 . Note...

Suppose that ? is the intersection of the plane ?+?+3?=4 and the surface ?^2−?^2=?^2−8 . Note that this intersection contains the point (3,4,−1) . Verify the assumptions of the implicit function theorem at this point; then if ?(?)=(?,?) φ ( x ) = ( y , z ) be the function from ℝ→ℝ2 R → R 2 verifying the conclusion of the implicit function theorem, compute ??(3) J φ ( 3 ) using the theorem. Verify your conclusion by explicitly...

1. Enter the symbol of the zone axis for the planes (3 -2 -1 ) and...

1. Enter the symbol of the zone axis for the planes (3 -2 -1 ) and ( -2 1 1). 2. The crystal wall belongs to two zones simultaneously (-1 0 1)and (-1 2 0). Give its Miller’s indicators. 3. If planes (412), (211) and (201) belong to a common zone, mark the axis symbol of this zone. 4. The lattice parameter of a regular crystal cell AgBr is ?0= 5,7745 ? . Calculate the interplanar distance dhkl for the...

Homework #3 a) Find the point of intersection of the line x = 2-3t, y =...

Homework #3 a) Find the point of intersection of the line x = 2-3t, y = 3 + t, z = 5t and the plane 3x-2y + z = 5 b)Find the equation of the plane that passes through (1,2,3) and is parallel to the plane 2x-3y + z = 1 c)Find the equation of the plane that contains the line x = 2-3t, y = 3 + t, z = 5t and goes through the point (1,2, 3)

Find the equation of the plane through the point (1,1,1) which is perpendicular to the line of intersection of the two planes x−y−3z=−1 and x−3y+z= 2.

Explain the difference be tween consumption possibilities and production possibilities. How it is possible for a...

Explain the difference be tween consumption possibilities and production possibilities. How it is possible for a country to consume a greater quantity of goods and services than it is actually capable of producing?

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