et the positon vector bc (t): Gompute He curuature KCE)

Q: Find the ualt noima vector fol for Rhe Lvector valuhed P(4)=t t? and sketch the durve the vector…

A: To Find:

Q: Find the work done by the force F = (3, 1, 5) in moving a particle from position P= (1, 2, 3) to…

A:

Q: 2n Is the integral /" r(t)dt a number or a vector?

A: In this question we have to tell whether the integral of given vector is number or vector.

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 velocity and acceleration vectors in terms ofur and uθ .1. r =θ and dθ/dt = 2

A: Given, r=θ and dθdt=2   Find Velocity and acceleration vectors in terms of ur and uθ:

Q: firmdis a. A. vector.arthegenal.tr.uxv.and.xw. b. A.vecter.orthog anal.tra. aun d. .c…

A:

Q: Show that, û . ûm = 0, Use only the fact that û,is a unit vector. Interpret this result.

A: Here we need to prove that dot product of a unit vector and its derivative is zero. Here we use the…

Q: of the vector PP2• -ppositely direct to PP2 and whose norm is the doubl he same direction as PP.…

A: Consider the given point as, P11,-2,1 and P2-1,3,0

Q: For y'= Aj where A is given below %3D A= find the right hand side vector F(t, ) needed to apply…

A: Given y'→=Ay→ Here A=1245 We have to find right hand side vector F→(t,y)→.

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

A:

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: The law of transportation for a covariant vector is transitive.

A:

Q: · Let 2 be the separation vector from a fixed point (x', y', z') to the point (x, y, z), and let z…

A: Since r is the separation vector from the point x',y',z' to the point x,y,z and the difference…

Q: if A=i+j+X, B=zi-j+3ksfind vector normal to B and in plane of A and B- ans. $2(3i+9j+x)

A:

Q: find the anit tang ent , norma and binor mal vector: el cost i a Sint tk]

A:

Q: at Q6:- If w = xi + yj + zk nonzero vector. Then show that cos a + cos? B + cos? y = 1, where a, B…

A:

Q: In Fr let ej denote the vector whose jth coordinate is 1 and whose other coordinates are 0. Prove…

A:

Q: Suppose that C has length 5. What is the value of F. dr if: (a) F(P) is normal to C at all points P…

A: Given: Length of C is 5. (a) F(P) is normal to C at all points P on C. ∫CF→·dr→=∫CFdrcos90°=0…

Q: 2) If A =,find grad(div A), where r is a position vector.

A:

Q: The acceleration vector points in the direction of motion. O True O False

A: If acceleration is positive then the acceleration vector points in the direction of motion.  But if…

Q: Consider the vector i 3, and let V 4 = span(ï) C Rº. %3D %3D 5

A: Given: Let the vector V→=12345 and V= span(V→)

Q: Q6/ A boxful has been moved a distance (2m) in a F = 5.2 i+ 3J horizontal direction due to effect of…

A: Work done by a force is equal to the product of Force applied in the direction of distance and…

Q: What would be the resultant force F of the triangular distributed load and its location 'd' measured…

A: Given,

Q: Determine if the vector filed is conservative and if so find the potential function F (x, y) = 12xyi…

A:

Q: Q. For the Spheri cal polas Coozdinates (r0,d), prove that their unit vectors mutually orthogonal?…

A:

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

A:

Q: Determine cuál de los siguientes vectores es paralelo a = -4i-j+5k 1 5 --21 + 글+24 •j+ K →= -8i-2j +…

A:

Q: e vector x²y?

A:

Q: firmdis .a. A. vector.octhogonal.br.xv.and.Txw. ..b. A vecter.othoganal.b.V.end. C.…

A:

Q: Let v = ai + bj. Show that v/lvl is a unit vector in the direction of v.

A: Consider the following vector: v→=ai^+bj^ Magnitude of vector v→: v→=a2+b2…

Q: find the velocity and acceleration vectors in terms ofur and uθ . r = a(1 - cos θ) and dθ/dt = 3

A: Velocity is defined as the rate of displacement. Acceleration is known as the rate of change in…

Q: Find a vector parallel to the plane 2x - y - z = 4 and orthogonal to i + j + k

A: Given:A plane 2x - y - z = 4 orthogonal to i + j + k

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: The divergence of a vector D for rectangular coordinate is equal to [1/p / dp (pDp)] + [1/p Dø/dø]+…

A: We have to find divergence in rectangular coordinate

Q: 4. If ricost cosh t+j sint sinh t, where i and j are constant orthogonal vectors prove that (a)…

A: Given r = i cost cosht + j sint sinht

Q: The spherical equivalent of the vector B = yi + (x + z)j located at (-2,6,3) is given by

A: The variables of the spherical coordinate system r,θ,ϕ are given as.…

Q: Find a nonzero vector normal to the plane z − 5(x − 1) = −2(3 — y). - -

A:

Q: Determine the moment of the force F = -40i + 30j + 20k kN about axis OA using vector method.

A: To determine: the moment of the force F → = - 40 i → + 30 j → + 20 k →  N about axis OA using vector…

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

A:

Q: Find the unit tangent , nomaand binormaL vectors 2. 2-Ycet [csti * sint j + x].

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Prove that the vector T'(t) = 0 for moving in a straight line

A: Note that, the object's path is rt=xti+ytj. yt=mxt+b, where m and b are constant. It is known that,…

Q: ind a formula for a vector normal to the plane tangent to f(x,y) at (xo, Yo).

A:

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: Consider a beam of length 10m and negligible mass, modelled as a rigid body in the x-direction from…

A: Here I am attaching image so that you understand each and every step.

Q: Q2) Pind tne uint Vector Fangeat and nornL towtne at Point (l,1) 2 Cunue

A:

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

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.