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8. What is the value of k that makes the given planes parallel? Perpendicular? Can these...
Please help with these problems. 8. Consider the two planes listed below 2x - y +...
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...
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...
Write a slope-intercept equation for a line passing through the given point that is parallel to...
Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second equation for a line passing through the given point that is perpendicular to the given line. 43. (3,5), y = 4x+1 44. (-1,6), f(x) = 2x + 9 45. (-7,0), y = -0.3x + 4.3 46. (-4.-5), 2x + y = -4 47. (3.-2), 3x + 4y = 5 48. (8,-2), y = 4.2(x - 3) +...
7. Three planes can intersect in a number of different ways. For each of the combinations...
7. Three planes can intersect in a number of different ways. For each of the combinations below, find the single point of intersection if there is one. If there isn't, explain how the planes do intersect. 71: 67 + 2+ 3z – 9 = 0 a. 12: -2x - 5y + 32 - 4 = 0 7T3 : 5x – y + 2z + 3 0 2x – 3y + 5z – 2 = 0 b. 72: -5.0 + 2y...
I ONLY NEED NUMBER 2 AND 4 Find the value(s) of k that makes each of...
I ONLY NEED NUMBER 2 AND 4
Find the value(s) of k that makes each of the following systems stable. 1. 40) + 2 ky()= x(e) 2. 3 ay 19 – ku(t)=141) 3. dip yen + zky(i)= x(0) 4 ay 049 + x96) = x(6) 5. Op yen) + z(x + 1) x 061) = x(1)
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of sigma,-sigma a and...
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of sigma,-sigma a and -3sigma (sigma > 0). Planes are distance d apart from each other. The origin of the coordinate system was set on the first plane as shown in the figure. Planes are perpendicular to z axis. Point A is 1/2 d away from the origin while point B and P are 2 d and 4 d away from the origin respectively. a) Use Gauss's law,...
Can you Please answer these questions Multi Variable Calc 23. Parameterize the line of intersection of the planes 3y-2...
Can you Please answer these questions
Multi Variable Calc
23. Parameterize the line of intersection of the planes 3y-22-4 and 61 2y +32-2. 25. Find a Cartesian equation for the plane conatining the line C(t) (2 t, 3 + 2t,t),-oo < t < oo and perpendicular to the plane r-y + z 3.
QUESTION 1 (15 MARKS) a) Given the line Lj: I = 2 - 2t, y =...
QUESTION 1 (15 MARKS) a) Given the line Lj: I = 2 - 2t, y = 5 + 2t, z=t-1 and 1 1 - 2 L2 : =y-3 = 2 4 i. Check whether the lines Lị and L2 parallel, intersect or skewed? (5 marks) ii. Find the shortest distance from the point (1, 2, -1) to the line Li- (3 marks) b) Given two planes 71 : 20 - 4y +z = 5 and T2 : 7x + y...
28.If a linear program is in standard maximum form, which of the following can be a...
28.If a linear program is in standard maximum form, which of the following can be a constraint? 3x+5ys-5 x+y-4 7x+12y 2 0 2x-4ys9 4x-8y 2 1 ONone of the above. 29.A certain number of steps of the simplex method results in the following simplex tableau. 0 3 20 0 1 0 0 0 2 7 0 1 0 13 4 0 0 5 8 0 0 20 0 0 1 2 3 0 1 93 What is the next step...
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of ?, −? and...
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of ?, −? and – 3? (? > 0). Planes are distance ? apart from each other. The origin of the coordinate system was set on the first plane as shown in the figure. Planes are perpendicular to z axis. Point A is 1/2 ? away from the origin while point B and P are 2 ? and 4 ? away from the origin respectively. a) Use Gauss’s...
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...
Write a slope-intercept equation for a line passing through the given point that is parallel to the given line. Then write a second equation for a line passing through the given point that is perpendicular to the given line. 43. (3,5), y = 4x+1 44. (-1,6), f(x) = 2x + 9 45. (-7,0), y = -0.3x + 4.3 46. (-4.-5), 2x + y = -4 47. (3.-2), 3x + 4y = 5 48. (8,-2), y = 4.2(x - 3) +...
7. Three planes can intersect in a number of different ways. For each of the combinations below, find the single point of intersection if there is one. If there isn't, explain how the planes do intersect. 71: 67 + 2+ 3z – 9 = 0 a. 12: -2x - 5y + 32 - 4 = 0 7T3 : 5x – y + 2z + 3 0 2x – 3y + 5z – 2 = 0 b. 72: -5.0 + 2y...
I ONLY NEED NUMBER 2 AND 4
Find the value(s) of k that makes each of the following systems stable. 1. 40) + 2 ky()= x(e) 2. 3 ay 19 – ku(t)=141) 3. dip yen + zky(i)= x(0) 4 ay 049 + x96) = x(6) 5. Op yen) + z(x + 1) x 061) = x(1)
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of sigma,-sigma a and -3sigma (sigma > 0). Planes are distance d apart from each other. The origin of the coordinate system was set on the first plane as shown in the figure. Planes are perpendicular to z axis. Point A is 1/2 d away from the origin while point B and P are 2 d and 4 d away from the origin respectively. a) Use Gauss's law,...
Can you Please answer these questions
Multi Variable Calc
23. Parameterize the line of intersection of the planes 3y-22-4 and 61 2y +32-2. 25. Find a Cartesian equation for the plane conatining the line C(t) (2 t, 3 + 2t,t),-oo < t < oo and perpendicular to the plane r-y + z 3.
QUESTION 1 (15 MARKS) a) Given the line Lj: I = 2 - 2t, y = 5 + 2t, z=t-1 and 1 1 - 2 L2 : =y-3 = 2 4 i. Check whether the lines Lị and L2 parallel, intersect or skewed? (5 marks) ii. Find the shortest distance from the point (1, 2, -1) to the line Li- (3 marks) b) Given two planes 71 : 20 - 4y +z = 5 and T2 : 7x + y...
28.If a linear program is in standard maximum form, which of the following can be a constraint? 3x+5ys-5 x+y-4 7x+12y 2 0 2x-4ys9 4x-8y 2 1 ONone of the above. 29.A certain number of steps of the simplex method results in the following simplex tableau. 0 3 20 0 1 0 0 0 2 7 0 1 0 13 4 0 0 5 8 0 0 20 0 0 1 2 3 0 1 93 What is the next step...
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