3.6 Given vectors A = x2 – ŷ + 23 and B = x3 – 2, find a vector C whose magnitude is 9 and whose direction is perpendicular to both A and B.

Q: Verify Stokes's theorem for the vector field; E 3D2 20хуz + ў 10(4x3 — Зу? + 2) — 2 (5х + бу? — 23)…

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Q: QII Given the vectors ri 8a, + 6a, r2 a,- 9a, +a, r3 -6a,-8a,-3a, find: a) ri in cylindrical…

A: NoteAs per our company guideline we are supposed to answer onlythree subparts. So  please remaining…

Q: In Cartesian coordinates, the position vector at point (3, 60, 1) is represented by

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Q: Given vectors A a, + 3a, and B = 5a, + 2a, 6a, determine %3D (a) A + B (b) 5A - В (c) The component…

A: Given two vector  A=ax+ 3az B= 5ax+2ay-6az |A+B|=?  5A-B ?

Q: For the given vector in RCS: xaz + yay + 4az F %3D Va2 + y² + z² Match each item to a choice:…

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Q: Transform the following vector B = (y – x)â + (x – y)ŷ into cylindrical coordinates system and…

A: The Figure below shows the conversion of cartesian coordinate to cylindrical coordinate and vice…

Q: Q3/ 1/ A.B=-B.A true False 2/A vector quantity has a magnitude while the term scalar has a magnitude…

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Q: D1.3. The three vertices of a triangle are located at A(6,-1,2), B(-2,3,-4), and C(-3, 1,5). Find:…

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Q: Given vectors à = £2 – ŷ + î3 and B = £3 –- 22, find a vector C whose magnitude is 9 and whose…

A: Given vectors are –

Q: a) Given vectors (in Cartesian coordinates) A = 4x – 3ỹ + 22 and B = 5ŷ – 2 iii. Prove that A x B is…

A: Two vectors A and B are said to be perpendicular to each other if dot product of the vectors is zero…

Q: Compute the upward flux of the vector field Ĥ(x, y, z) = (x, 0,2z) across the portion of the…

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Q: 4.) Evaluate div D at R(1.5, 30°, 50°) of the given vector field: D = 2pz² sin°o a, – pz² sin 20 ag…

A: We need to find divergence of given signal .

Q: In Cartesian coordinates, the position vector at point (3, 80, 1) is represented by

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Q: A vector field is defined as: Wb. B = 2rz a, + 3z cos Ø a, – 4r sin oa, (S) by 1<r< 4, 45° < ø < 90°…

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Q: find the divergence of the position vector to point P(3,30°,1). a) 3/r               d)-1 b)3r…

A: Use general formula of position vector in cylindrical coordinates then apply divergence to get…

Q: 1. A Cartesian vector can be thought of as representing magnitudes along the x, y and z-axes…

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Q: Given vector fields in rectangular coordinate system: A = zya₂ + 2yray + 3zxa, and B=yza, + 2zzay +…

A: Given: The vector fields in the rectangular coordinate system: A=xyax+ 2yxay + 3zxazB=yzax+…

Q: 2) Given the Vector field: 2. At point (1,3,6) find : a) H. ax b) H x de c) The vector component of…

A: The solution for the above problem was shown in below steps.

Q: 3.35 Transform the following vectors into spherical coordi- nates and then evaluate them at the…

A: It is given that: b) B=y^x2+y2+z2-z^x2+y2 at P2=-1,0,2c) C=r^cosϕ-ϕ^sinϕ+z^cosϕsinϕ at P3=2,π4,2d)…

Q: 1. Express in cylindrical components: (a) the vector from C(3, 2, -7) to D(-1, -4, 2); (b) a unit…

A: Vector between two coordinates is calculated as Target point coordinates minus starting point…

Q: Q2) Express in spherical components: the vector from C(3, 2, - 7) to D(- 1, - 4, 2)

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Q: Find the curl of vector B = 3y4 i + 3x4 j + 3xyz4 k at point (2,1,-1)

A: Given data, Function is given as, B=3y4i+3x4j+3xyz4k Point is given 2,1,-1

Q: 1. If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w? 2.…

A: Given u = (3, 3), v = ( 13, -7) and 2w + 3u - v = (4, -4) Then find for w ?

Q: Q2 Given the vectors: A = 3i + 2j – k and B = 5i +5j, find: a. The dot product A B. b. The…

A: Given, A = 3i+2j-k B = 5i + 5j

Q: Realize Stoke's theorem for vector A " = jx + ky and for a square whose area is one unit in the…

A: given vector

Q: 8. Given a vector field H´ = (y-1) ax+2xay. Find this vector field at Q(2,3,1) and its projection on…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q4. Find the angle that the vector A = 3î – 4ĵ makes with the positive x-axis Q5. Show that the…

A: The solution following questions are

Q: ransform each of the following vectors to spherical coordinates (vector) at pecified points. 4аx +…

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Q: Q3. Prove that (only one): ay-dy is a unit vector? a- b- I = 6a, - 3a, + 2a, and M = 3a, + 2a, - 6a,…

A: From the basic properties of Vectors

Q: The unit vector directed from the origin towards the points would be obtained by first designating a…

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Q: Create a vector x with the elements: 0, 1/2, 2/3, 3/4, 4/5,...

A: Vector is one row or one column matrix in MATLAB. The required array can be formed by using the…

Q: Using the concept of vectors and dot product, show that by connecting the three points P(4, 1), Q(1,…

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Q: Given the vector: B=[8.3, –6.7, –3.3]. Which is the following is angle between of the dot product…

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Q: EXAMPLE 3.8 [2]: Determine the curl of each of the vector fields below: (a) P = x*yza, + xza, (b) Q…

A: determine the curl of vector fields in cartesian, cylindrical and spherical coordinates ?

Q: Find the vector component of in the direction of the A= 3xa, +2ya, + z*a, vector B = a, at the point…

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Q: c. Determine the vector AB for each of the following pairs of points (a) A (3,k,2) and B (y,12,5)…

A: If any two points are given then vector between them would be the difference of two points. And in…

Q: Verify the divergence theorem for the vector field F = x?i + zj + yk taken over the region bounded…

A: Divergence theorem is states that surface integral of a vector over a closed surface is equal to…

Q: 4. The vector from the point A(2, 3) to the origin. 5. The sum of the vectors AB and CD. given the…

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Q: Find: 1. the unit vector directed from E towards F 2. the measure of all interior angles 3. the…

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Q: YA 2 Assume the vector function A = a,3x?y³ – a,x³y². a) Find $ A· dl around the triangular contour…

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Q: Represent the vector A = 2y i - zj + 3x k in spherical coordinates and determine Ar, Ay and Ap.

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Q: D1.4. The three vertices of a triangle are located at A(6.-1.2). B(-2,3. -4), and C(-3. 1.5). Find:…

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Q: Given two vectors: A And a point C(1,3,4)-

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Q: D1.3. The three vertices of a triangle are located at A(6,-1,2), B(-2,3,-4), and C(-3,1,5). Find:…

A: Given A=6, -1, 2B=-2, 3, -4C=-3, 1, 5

Q: Given vectors: A(6,3,2) B(1,4,6) and C(7,2,2) as the plane of the triangle. Find the vector…

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Q: D = (x² + y³)¯'(xa, + ya,) %3D Express the vector field in cylindrical components and variables.

A: Cylindrical components: There are three cylindrical components, row, phi, and z. the row and z have…

Q: Given a Vector Field of P=(2x?y+3yz)a,-(4x4-3xy)a,+(5xyz+4x³)a, Find its divergence at point…

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Q: Given the following Vectors: А-2а, — 4а, — 2а,, B= 3a, + 2a, + 2a, , and С-а, — За, + 2а, Using dot…

A: Given following vectors, A→=2ax-4ay-2azB→=3ax+2ay+2azC→=ax-3ay+2az

Q: 5. Calculate the value of the vector current density at P(3, 4, 5) if H = xz¹ ay - rya.

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Q: Given vector A = x²yax-yzay + y(z²)a₂ and point T(2, -1, 3). Determine the position vector S if the…

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Latches and Flip Flop

Just like logic gates, the latches and flip-flops are the important elements of an electronic circuit. The logic gates form the important part of combinatorial circuits, while the latches and flip-flops form the essential part of a sequential circuit. Sequential circuits form the important concept of automata theory in electronics and electrical engineering, these circuits are a kind of logic circuit whose output depends on both present input and past inputs, that is, the input history.