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Find the value of a if F=(axy - z²) hat I +(x² + 2yz) hat j + (y² - axz) hat k is irrotational.
4:10
Find the value of a if F=(axy - z²) hat I +(x² + 2yz) hat j + (y² - axz) hat k is irrotational.
Find the value of a if vec F = (4xy - z ^ 3) hat i +ax^ 2 hat j -3xz^ 2 hat k is irrotational
3:32
Find the value of a if vec F = (4xy - z ^ 3) hat i +ax^ 2 hat j -3xz^ 2 hat k is irrotational
Find the values of m if the vectors are solenoidal (2x+z) hat i + (my + 4z) hat j +(5z+6x) hat k
1:58
Find the values of m if the vectors are solenoidal (2x+z) hat i + (my + 4z) hat j +(5z+6x) hat k
Find the values of m if the vectors are solenoidal (x + 2y) hat i +(y-2z) hat j +(x+mz) hat k
1:59
Find the values of m if the vectors are solenoidal (x + 2y) hat i +(y-2z) hat j +(x+mz) hat k
Show that the vector is irrotational :vec F= (y^2*cos x +z^3) hat i +(2y sin x-4) hat j +3xz^2 hat k
3:06
Show that the vector is irrotational :vec F= (y^2*cos x +z^3) hat i +(2y sin x-4) hat j +3xz^2 hat k
Show that the vector is irrotational: vec F =(sin y+z) hat i + (x * cos y - z) hat j +(x-y) hat k
2:41
Show that the vector is irrotational: vec F =(sin y+z) hat i + (x * cos y - z) hat j +(x-y) hat k
Show vector is irrotational: vec F = (3x^2 + 2y^2 + 1) hat i +(4xy-3y^2z-3) hat j +(2-y^3) hat k
2:53
Show vector is irrotational: vec F = (3x^2 + 2y^2 + 1) hat i +(4xy-3y^2z-3) hat j +(2-y^3) hat k
Show that the vector is irrotational: vec F = (y ^ 2 + 2x*z ^ 2 - 1) hat i +2xy hat j +2x^ 2 z hat k
3:09
Show that the vector is irrotational: vec F = (y ^ 2 + 2x*z ^ 2 - 1) hat i +2xy hat j +2x^ 2 z hat k
Show that the vector is irrotational: vec F = (4xy - z ^ 3) hat i +2x^ 2 hat j -3xz^ 2 hat k
2:59
Show that the vector is irrotational: vec F = (4xy - z ^ 3) hat i +2x^ 2 hat j -3xz^ 2 hat k
Show that the vector is solenoidal: x(y - z) hat i + y(z - x) hat j +z(x-y) hat k
2:01
Show that the vector is solenoidal: x(y - z) hat i + y(z - x) hat j +z(x-y) hat k
Show that the vector is solenoidal: (y + z) hat i +(z+x) hat j +(x+y) hat k
1:44
Show that the vector is solenoidal: (y + z) hat i +(z+x) hat j +(x+y) hat k
Show that the vector is solenoidal: x ^ 2 hat i +2xy hat j - 4xz hat k
1:46
Show that the vector is solenoidal: x ^ 2 hat i +2xy hat j - 4xz hat k
directional derivative phi = x^2 - y^2 + 2z point P(1,2,3) straight line PQ where Q point (5,0,4)
4:37
directional derivative phi = x^2 - y^2 + 2z point P(1,2,3) straight line PQ where Q point (5,0,4)
directional derivative at (1,1,-1) of Phi = x^2 - 2y^2 + 4z^2 direction ( 2 hat i + hat j - hat k )
3:48
directional derivative at (1,1,-1) of Phi = x^2 - 2y^2 + 4z^2 direction ( 2 hat i + hat j - hat k )
Show directional derivative of f =x*y^2 + y*z^2 + z*x^2 at point (1,-2,5) direction of x-axis is 14
4:33
Show directional derivative of f =x*y^2 + y*z^2 + z*x^2 at point (1,-2,5) direction of x-axis is 14
directional derivativephi = xy + yz + zx vector ( hat i +2 hat j +2 hat k ) point (1,2,0) is 10/3
4:37
directional derivativephi = xy + yz + zx vector ( hat i +2 hat j +2 hat k ) point (1,2,0) is 10/3
Find directional derivativephi = x * y ^ 2 + y * z ^ 2 point (2,-1,1) hat ( i +2 hat j +2 hat k ).
5:37
Find directional derivativephi = x * y ^ 2 + y * z ^ 2 point (2,-1,1) hat ( i +2 hat j +2 hat k ).
Find the angle between the normals to the surface xy = z ^ 2 at the points (1, 4, 2) and (-3, -3, 3)
6:48
Find the angle between the normals to the surface xy = z ^ 2 at the points (1, 4, 2) and (-3, -3, 3)
Find the angle intersection of the surfaces x^2 +y^2 +z^2 =9 and z =x^2 +y^2 -3 at the point(2,-1,2)
7:38
Find the angle intersection of the surfaces x^2 +y^2 +z^2 =9 and z =x^2 +y^2 -3 at the point(2,-1,2)
Find the equation of the tangent plane to the sphere x^2 + y^2 + z^2 + 2x -7 =0 at the point (1,0,2)
7:29
Find the equation of the tangent plane to the sphere x^2 + y^2 + z^2 + 2x -7 =0 at the point (1,0,2)
Show that the equation of the tangent plane to the surface yz -zx +xy -1 =0 at (1, 2,-1) is 3x +z =2
4:50
Show that the equation of the tangent plane to the surface yz -zx +xy -1 =0 at (1, 2,-1) is 3x +z =2
Show that the equation of the tangent plane to the surface z =xy at the point (2,3,6) is 3x +2y =z+6
4:02
Show that the equation of the tangent plane to the surface z =xy at the point (2,3,6) is 3x +2y =z+6
Find a unit vector which is perpendicular to the surface x ^ 2 * y + 2xz = 4 at the point (2,-2, 3).
4:14
Find a unit vector which is perpendicular to the surface x ^ 2 * y + 2xz = 4 at the point (2,-2, 3).
Show that a unit normal to the surface x^2- y^2 +z = 2 at (1,-1, 2) is 1/3(2 hat i +2 hat j + hat k)
3:21
Show that a unit normal to the surface x^2- y^2 +z = 2 at (1,-1, 2) is 1/3(2 hat i +2 hat j + hat k)
Find the unit vector normal to the surface x ^ 2 * y + 2xz = 4 at the point (2,-2, 3).
4:01
Find the unit vector normal to the surface x ^ 2 * y + 2xz = 4 at the point (2,-2, 3).
Find div vec F and curl vec F when F = grad (x^3 + y³ +z³-3xyz).
6:36
Find div vec F and curl vec F when F = grad (x^3 + y³ +z³-3xyz).
Show that div grad(arctan(y/x)) = 0
5:30
Show that div grad(arctan(y/x)) = 0
If phi = log(x ^ 2 + y ^ 2 + z ^ 2) find (i) div (grad phi) and (ii) curl (grad phi).
12:16
If phi = log(x ^ 2 + y ^ 2 + z ^ 2) find (i) div (grad phi) and (ii) curl (grad phi).
phi = 2x ^ 3 * y ^ 2 * z ^ 4 find div. grad phi
3:47
phi = 2x ^ 3 * y ^ 2 * z ^ 4 find div. grad phi
If vec u = x ^ 2 y hat i -2xz hat j +2yz hat k . find (i) div u u (ii) vec u (iii) curl curl u.
7:48
If vec u = x ^ 2 y hat i -2xz hat j +2yz hat k . find (i) div u u (ii) vec u (iii) curl curl u.