Evaluate 1+ x2 + y?dS, where S is the nelicoid with vector equation (u, v) < u cos v, u sin v, v > 0 < u< 2, 0

Q: Evaluate | F. dS , where F = and S is the helicoid with vector equation r(u, v) = 0 < u < 4, 0 < v…

A:

Q: Q1/ If f(x,y)=find a unit vector u for which Duf (2,3) = 0 x+y

A: We have to find a unit vector u for which Duf(2,3)=0 where f(x,y)=yx+y

Q: If p (x, y, z) = x² + y? + z2, what is the unit vector in the direction of Vy (1, 2, 3? )undefined…

A: To find the unit vector in the direction of  ∇φ1,2,3, whereφx,y,z=x2+y2+z2

Q: ind a unit vector orthogonal to bothu and v. u = (-8, 7, -2) v = (-1, 1, 0)

A:

Q: Let h ( x , y ) = ln ⁡ ( ( x + y ) 2 ) . If you are at the point ( e , e ) what unit vector makes D…

A:

Q: Evaluate /| F - d5 , where F = and S is the helicoid with vector equation r(u, v) 0 < u < 4, 0 < v…

A:

Q: 3. Find the angles between the vectors: u = 2i + j, v = i + 2j – k b. u = 2i – 2j + k, v= 3i + 4k а.…

A:

Q: Find a unit vector orthogonal to both u and v. u = 3i + 5j + 2k V= 위해 + -k 10

A: Given the vectors u→=3i→+5j→+2k→, v→=12i→-34j→+110k→. To find: A unit vector orthogonal to both u→…

Q: 2v in Given vector U= (2,5) and v = (1, –3) , determine the value of u component form.

A: Topic:- vector algebra

Q: Evaluate |/ V1+ x² + y°dS, where S is the helicoid with vector equation r(u, v) = 0 < u < 4, 0 < v…

A: Given surface integral is  ∫∫S1+x2+y2 dS where S is the helicoid with vector equation  r(u,v) =&lt;…

Q: et u (x, y) E R² any vector, prove that l|u||

A:

Q: Evaluate F.dS, where F = and S is the helicoid with vector equation r(u, v) = 0 < u < 3, 0 < v < T…

A: Given that, F¯=y,-x,z5 and ru,v=u cos v, u sin v, v where 0≤u≤3 and 0≤v≤π. Find ru×rv as follows.…

Q: Evaluate 1+ x° + y°dS, where S is the helicoid with vector equation т(и, и) — 0 <u < 3, 0 < v< T

A:

Q: (b) y =u°+In(2u), where u = e 4. Consider the vectors u,v and w are defined as u = -i+2j+2k, v =…

A: 4. Given the vectors u , v , w.

Q: Prove the stated property of distance between vectors. d(u, v) = 0 if and only if u = v

A:

Q: Find a vector B such that F = V × B and V · B = 0, where F %3D (x + Зу, у — 2z, х - 2z).

A:

Q: Find the vector projy u. u = 3 i - j+ 3 k, V = 2 i+ j+ 2 k

A: We want to have projection vector. Projection of vector u on v is given by u.vvv⏞

Q: M contains the point with coordinates (0,0,1) 2 M is orthogonal to the vector 0

A: Introduction: The general equation of Plane is ax-x1+by-y1+cz-z1=0

Q: Find a set of vectors {u, v} in R* that spans the solution set of the equations w - x -y+ 3z 0, %3D…

A:

Q: Evaluate || F . d5, where F = and S is the helicoid with vector equation r(u, v) = Is 0 < u < 4, 0…

A: The solution are next step

Q: Evaluate F - dS, where F = and S is the helicoid with vector equation r(и, о) - = 0 < u < 2, 0 < v…

A:

Q: Find the possible values of x if vectors are j +2k, v =2i + j –- k and w = xi+j - k coplanar: u = i…

A: Given vectors are u=i-j+2k, v=2i+j-k and w=xi+j-k. To find the possible values of x if vectors are…

Q: c) Show that vector ū = 1 cannot be expressed as a linear combination of 2 in R3 3 vectors vi 1 and…

A: we have to show that , we can not write as a linear combination of vectors v1 and v2

Q: di vergen a of the vector funchion v = xi+ 29j+ 32k, is Jhe 2

A:

Q: What is the most general solution to u + v + w = 1, u − w = 2 in vector form?

A:

Q: e vector x²y?

A:

Q: 4. Let u o, where o is the zero vector. Show that there are exactly two unit vectors that is…

A: This is a problem of vector algebra.

Q: Find a set of vectors {u, v} in R“ that spans the solution set of the equations 0, 0. w – x – 3z 5w…

A: To find a set of vectors {u,v} in R^4 that spans the solution set of the equations

Q: Evaluate /1+ x² + y°dS, where S is the helicoid with vector equation S r(u, v) 0 < u < 3, 0 < v <…

A: Given integral ∬S1+x2+y2dS, where S is helicoid with vector equation r^u,v=ucosv,usinv,v We have to…

Q: Q/ B/ If vector A = 3i – 2j + 7k and B = -i+j- 3k , find the area of triangular between vector A and…

A:

Q: Evaluate 1+ x? + y?dS, where S is the helicoid with vector equation r(u, v : 0 < u < 3, 0 < v < 2T

A:

Q: Evaluate /| F. d5 , where F = and S is the helicoid with - vector equation r(u, v) = 0 < u < 1, 0…

A: To evaluate the below vector surface integral. ∫∫SF⋅dS

Q: Find a set of vectors {u, v} in R* that spans the solution set of the equations w -x-y+ 3z 5w + 2x +…

A: In the question it is asked to write the vector for the given equations. w-x-y-3z=05w+2x+y+3z=0 AS…

Q: Show that the vector V = (x+ 3y)i + (y – 32) j+(x – 2z)k is solenoidal. %3D

A: Solenoidal Vector : A vector function whose divergence vanished identically is called a solenoidal…

Q: ir kümelerinden kaç tanesi R' için bir tabandır? how many of the given vector

A: A subest S of R2 is a subspace if and only if it contains the null vector whenever it contains two…

Q: Find the unit vectoru in the di rection of the vector v=4 (2, 1, 2). 1 u = u = В. 1 12 u = 1 u = 15…

A: v=4(2,1,2)v=(4*2,4*1,4*2)v=(8,4,8)Magnitude of vector|v|=(8)2+(4)2+(8)2=64+16+64=144=12unit vector u…

Q: Evaluate / V1+ x² + y°dS, where S is the helicoid with vector r(u, v) 0 <u < 3, 0 < v< T

A:

Q: Evaluate F. dS, where F = and S is the helicoid with vector equation r(u, v) , 0 < u < 3, 0 < v <…

A: Given the vector field F→=y,-x,z2 and the surface S is parametrized as ru,v=ucosv,usinv,v,…

Q: Evaluate 1+ x² + y*dS, where S is the helicoid with vector equation r(u, v) 0 < u < 2, 0 < v < 2T

A: Given ∬S1+x2+y2dS where S is the helicoid with ru,v=u cos v, usin v, v, 0≤u≤2, 0≤v≤2π. Since ru,v=u…

Q: Find a unit vector orthogonal to both u and v. u = -3i - 2j - 5k li 1 3i+ -j + 4 10 V = - 2

A: To find A unit vector orthogonal to both u and v

Q: Find a unit vector orthogonal to both u and v. u = 2i – 5j + 3k 1 V = -k + 10

A: Please go through the attached solution. I hope that it  will help you .Thankyou . Best regards.

Q: Which option is equal to the DOT product uV of vectors 3 u = 1 4 -4 26 24 N N

A: The given vectors are: u=314 and v=22-4 Multiply the numbers component wise to find the dot product…

Q: Evaluate F. dS, where F = and S is the helicoid with vector equation r(и, v) with upward…

A:

Q: Find the values of x, y and z that satisfy the vector equation 1 3 ·¤-A-D-A-A-D 3 +y-2 +2 1 1-2 +3…

A:

Q: b) Find out the Vector =y²z?i+x?z?j+z²y²k is irrotational or not?

A: By definition, Any vector is said to be irrotational if the curl of the vector is zero. The given…

Q: Ex. het be the vector Share sf 3*3 Symmetric motrices R. Show that dinW=6

A: Dimension of n × n symmetric matrix is n(n+1)/2

Q: The part of the plane with vector equation r(u, v) = (u + v, 2 – 3u, 1 + u – v) that is given by 0 <…

A: This is a problem of surface integral.

Q: What is the dependence on the following vectors: u=(3.0.1), v=(1,-1,0) and w=(1.0.1) thanks!

A: A set of vectors {v1,v2,...,vn} in Rn is said to be linearlyindependent if the vector equationx1v1 +…

Q: Evaluate /1+ x² + y²dS, where S is the helicoid with vector equation т(и, 0) - = 0 < u < 3, 0 < v <…

A:

Q: Evaluate 1 + x2 + y?dS, where S is the helicoid with vector equation r(u, v): 0 < u < 2, 0 < v < T

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.