Evaluate Vx (4xj) •n do where S is the hemisphere x2 + y2 + z2 = 16, z20. Use the normal vectors pointed away from the origin. Vx (4xj) •n do = (Type an exact answer, using t as needed.)

Q: Find the principal unit normal vector N of the curve: r(t)=(7tsint+7cost)i+(7tcost-7sint)k

A: The given curve is r→t=7tsint+7costi^+7tcost-7sintk^ We have to find the principal unit normal…

Q: Find a unit vector that is orthogonal to both u and v for u = and v = .

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Q: Find a unit normal vector to y=x^3 At the point (3,6) and pointing from p toward the concave inside…

A: In this, We find unit normal vector to y=x^3 at the point (3,6) .

Q: H=pz Csup ap te'sin dg tpan 2 At point (1, ,6)

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Q: Calculate fu-2)- N ds where C is circle of radius 3 centered at the origin and N is an outward…

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Q: The curd of the vector funchion v = Jx i+ Jgj+ ZK is ☺ xi+ yj+ zK

A: It is given that, v→=x i^+y j^+z k^   According to curl, the swirl of a vector around a point. It is…

Q: Find the unit normal vectors for the following vector function. r(t) = (cos (2 t), sin (2 t), 3>…

A: First find unit tangent vector then find unit normal vector.

Q: Find a vector n normal to the plane with the equation 5x - 5y – z = 10. n = (5,

A: Given equation of plane is 5x-5y-z=-10.want to find:Normal vector n to given plane.

Q: Find ||e − 4f||, assuming that e and f are unit vectors such that ||e + f|| = √3.

A: The step-by-step solution to the given question is ..  we have ,  e+f=3..........(1) we have to find…

Q: Find the unit Vector e(subv) where v=(2,2,1)ev=?I appreciate the help in advance

A: Formula used:Unit vector in direction v is

Q: find the acute angle between the given linesby using vectors parallel to the lines. y = x, y = 2x +…

A: Here the acute angle between two lines is to be calculated.

Q: EX/ Find The normal vector to A = 2i-3j+4K, B =i-2j+ 5K %3D ĀxB =Ñ =1? ĀXB=N -3 4 = -7i-6j-K %3D - 2…

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Q: Find a vector function that represents the cur ve of intersection of the paraboloid z a + mnd the…

A: Given that, the paraboloid is z=x2+y2 and the cylinder is x2+y2=22. The projection of the of the…

Q: Find the Unit normal VEctor N to rCt) at 1777 ン 4 N (t)= 0

A: From the given data

Q: Find a vector n normal to the plane with the equation – (x + y+ 52) = –4. n = (-1,

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Q: Find the resultant R (give both magnitude and direction) of the following displacement vectors by:…

A: Given displacements are                                           R1=2m at 30° North of EastR2=5m at…

Q: Use the vector-valued function r(t) to find the principal unit normal vector N(t) using the…

A: we know that , v = r ' (t)  a = v ' = r" ( t )

Q: Find the unit tangent vector T, the principal unit normal vector N, and the unit binormal vector B…

A: Consider the curve     Ct: rt =cost,sint,t (i) unit tangent vector                  The unit tangent…

Q: Use the dot product to find the angle between the vectors v =i – 2j + k and w = i+j-2k. For which…

A: First we have to find the angle between the vectors v and w where v=i-2j+k and w=i+j-2k. For this,…

Q: Consider an object moving according to the function from position r(t) = acoswt i + asenwt j. To…

A: As per the question we have to find the tangential and normal vector components of the path defined…

Q: I can't find the normal component of the acceleration. (aN)

A: For normal component of acceleration:

Q: A particle is moving along the curve whose position vector is given: R(t) = (cost + tsint)i + %3D…

A: R(t)→=cost+t sinti+sint-t costj+4kFind the unit normal vectorSome…

Q: Find a vector normal to the plane with the given equation. 2x + 8y + 9z = 3 n =

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Q: Find b so that the vectors v = i + jand w = i + bj are orthogonal.

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Q: Find a non-zero vector & perpendicular to the vectors v = x = ► 3 H and u = 4

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Q: A particle is moving along the curve whose position vector is given: R(t) = (cost + tsint)i + (sint…

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Q: Find the cross product of the unit vectors. jx i

A: Topic :- Vector

Q: If u and v are vectors in Rn, what is the relationship between uT v and vT u? Are they equal?…

A: We are given the vectors,  u and v are vectors in Rn. Let us use the notations,…

Q: (-2,0,423) (0,0.423) R (0,0)

A: For the given figure the resultant Vector R is calculated as shown below for the given points  (x1,…

Q: O Solve the electric flux through a paraboloid z =x² + y² – 16 that lies below plane z = 0. It is…

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Q: A particle is moving along the curve whose position vector is given: R(t) = (cost + tsint)i + (sint…

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Q: Find the point on the graph of z = 3x2 + u? at which vector n (24, 2, –1) is normal to the tangent…

A: Gradient of the surface denote the normal direction.

Q: (:) R de u = ve v = ( t2 ) for vectors, show = 2u1v1 + 3u2v2 is an internal product

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Q: The unit vector normal to the plane 2x + 3y + 6z = 7 is

A: The given plane is 2x + 3y + 6z=7. The unit normal vector to fx,y is defined as n=∇F∇F. The normal…

Q: e the electric flux through a paraboloid z = x² + y² – 16 that lies . It is oriented by an outward…

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Q: Q when analyzing the vector Å-zi-j+3K To theSum Parallet to the ve ctor 3=i+2j+zk etwo vectors Lirst…

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Q: Find the velocity and acceleration vectors in terms of u, and ue. do a0 r= 9 e and :3 dt v=Ju, +Jue…

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Q: Evaluate Vx(3xj) •n do where S is the hemisphere x + y² +z? = 4, z20. Use the normal vectors pointed…

A: Please see the explanation below

Q: Find a vector n normal to the plane with the equation x+6y + 4z = -10. n= 00> (1₂)

A: Concept: The equation of the plane is written as: ax-x0+b(y-y0)+c(z-z0)=0 or ax+by+cz=d Here the…

Q: Find the unit tangent, normal and binormal vectors T, N and B for the curve at the point (0, 7, -1).

A: The curve is defined by the vector function rt=sint2,t2,cost2 on the domain [0,∞) To find the unit…

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: Show that LM = 2AB.

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Q: Find a nonzero vector normal to the plane z−3(x−4) = −4(1−y) correctly.

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

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Q: perpendicular to the plane formed by the vectors w1 = [1 2 1] and w2 = [2 2 3], with the z axis

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Q: Find the velocity and acceleration vectors in terms of u, and ug. do r= 6 e a0 and -= 3 dt Ju, +Juo

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