explain why the line of intersection of two planes must be parallel to the cros product of a normal vector plane and a normal vector to the second.
Explain why the line of intersection of two planes must be parallel to the cros product of a norm...
Find a vector parallel to the line of intersection of the two planes 2x - y + z = 1, 3x + y + z = 2.
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
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 vector equation for the line of intersection of the planes 52 - 5y + z = 2 and 5x + z = -1 =( ,0) +t(-5, r= ).
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.
Problem 1. (33 Points) (a) Consider the following: Are these two planes parallel? If not, find the parametric equation of their line of intersection (b) Describe the set of all points P = (x, y, z) such that the distance from P to the y-axis is twice the distance from P to the zz-plane. (c) Describe the set of all points P (r, y, 2) such that the distance from P to the plane x + 5y-4z = 1 equals...
Please help with these problems.
8. Consider the two planes listed below 2x - y + z = 1 +y-2=2 These two planes intersect at a right angle. Show that this is true by showing their normal vectors are perpendicular. Find the parametric equations of their line of intersection. Is the line of intersection (call this L) for these planes parallel, perpendicular (intersect at 90 degrees), skew (not parallel, don't intersect), or none of the above to the line: F(t)...
Additional Problems: (HINT: It suffices to consider Just what happens (DX c A. Show by example that (a x b xc* a with i, j and k:) B. Find a vector which is perpendicular to every vector parallel to the plane z+y 0. C. Find the line which is the intersection of the planes x + y 0 and 3y-z = 0. D. Explain why the vectors in the following form describe a plane (where both t and s are...
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
please answer question 4-7
Prove the arithmetic properties of the Cross Product 1. 2. a. Line L1 is parallel to the vector u Si+j, line L2 is parallel to the vector u-3i +4j and both lines pass through point P(-1,-2). Determine the parametric equations for line L1 and Lz b. Given line L:x(t)-2t+8,y(t)-10-3t. Does L and Ls has common 3. a. Find the equation of the plane A that pass through point P(3,-2,0) with b. Given A2 be the plane...