Homework Answers
Use projection formula we can have the distance between a point and a plane.
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Use d = proj QP to find the distance between point P(5, 3, – 4) and...
(1 point) Use the inner product <p.q >= P(-3)(-3) + p(0)q(0) + p(2)q(2) in Pg to...
(1 point) Use the inner product <p.q >= P(-3)(-3) + p(0)q(0) + p(2)q(2) in Pg to find the orthogonal projection of p(x) = 2x2 + 6x + 4 onto the line L spanned by 9(x) = 3x2 - 4x - 6. proj. (p) =
Find the distance from the given point to the plane.
The point given is (1,-2,4) and the plane equation is 3x+2y+6z=5 ...How do I find the distance between them?
Let L be the line passing through the point P(-4, -1,5) with direction vector d=[-3, 3,...
Let L be the line passing through the point P(-4, -1,5) with direction vector d=[-3, 3, 2]T, and let T be the plane defined by 3x+2y-5z =-9. Find the point Q where L and T intersect. Q=(0, 0, 0)
a) Use the Gauss Law to find the electric field at point P at distance z...
a) Use the Gauss Law to find the electric field at point P at distance z from the infinite plane of surface density ?. Make sure to briefly explain all the steps (annotate them briefly, as in class notes). Take particular care (to explain why!) if the flux through certain area is 0. b) Explain in what situation may we find such expression useful.
Find a formula for the distance from the point P{x,y,z) to each of the following planes....
Find a formula for the distance from the point P{x,y,z) to each of the following planes. a. Find the distance from P(x,y,z) to the xy-plane. b. Find the distance from P(x,y,z) to the yz-plane. c. Find the distance from P(x,y,z) to the xz-plane. a. Choose the correct formula for the distance from the point P(x,y,z) to the xy-plane. O A. Iz OB. Mx2 + y2 OC. Vz OD. x² + y² + 2? b. Choose the correct formula for the...
1. a) Use the Gauss Law to find the electric field at point P at distance...
1. a) Use the Gauss Law to find the electric field at point P at distance z from the infinite plane of surface density ?. Make sure to briefly explain all the steps (annotate them briefly, as in class notes). Take particular care (to explain why!) if the flux through certain area is 0. b) Explain in what situation may we find such expression useful.
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...
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...
P. example I P. HW 1. In the last ex D = ? 2. Show that...
P. example I P. HW 1. In the last ex D = ? 2. Show that L: x=1-2t y = t z=-t and the Plans I 6x-37+32 = 1 are per pendicular LIP, theu find the point of intersecticu. 3. Find an equation of the plan that contanis the point (2,2,3) and the line x=-1+ t = y=t: 2 t: 2=-4+25 4. Show that L: x=-1tt g=3+2t 2.-t and the plane I: 2x-ey-22=-3 are parallel, then find the distance between...
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2 + y2 +z" 1 and x2 + y2 + z2-4 given that the density at each point P(x, y, z) is inversely proport...
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2 + y2 +z" 1 and x2 + y2 + z2-4 given that the density at each point P(x, y, z) is inversely proportional to the distance from P to the origin and 8(o, 3,02 15 pts] (0, 1,0)-2/m3 from P to the origin and
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2...
(1 point) Use the inner product <p.q >= P(-3)(-3) + p(0)q(0) + p(2)q(2) in Pg to find the orthogonal projection of p(x) = 2x2 + 6x + 4 onto the line L spanned by 9(x) = 3x2 - 4x - 6. proj. (p) =
Let L be the line passing through the point P(-4, -1,5) with direction vector d=[-3, 3, 2]T, and let T be the plane defined by 3x+2y-5z =-9. Find the point Q where L and T intersect. Q=(0, 0, 0)
Find a formula for the distance from the point P{x,y,z) to each of the following planes. a. Find the distance from P(x,y,z) to the xy-plane. b. Find the distance from P(x,y,z) to the yz-plane. c. Find the distance from P(x,y,z) to the xz-plane. a. Choose the correct formula for the distance from the point P(x,y,z) to the xy-plane. O A. Iz OB. Mx2 + y2 OC. Vz OD. x² + y² + 2? b. Choose the correct formula for the...
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...
P. example I P. HW 1. In the last ex D = ? 2. Show that L: x=1-2t y = t z=-t and the Plans I 6x-37+32 = 1 are per pendicular LIP, theu find the point of intersecticu. 3. Find an equation of the plan that contanis the point (2,2,3) and the line x=-1+ t = y=t: 2 t: 2=-4+25 4. Show that L: x=-1tt g=3+2t 2.-t and the plane I: 2x-ey-22=-3 are parallel, then find the distance between...
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2 + y2 +z" 1 and x2 + y2 + z2-4 given that the density at each point P(x, y, z) is inversely proportional to the distance from P to the origin and 8(o, 3,02 15 pts] (0, 1,0)-2/m3 from P to the origin and
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2...
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