2 3 Let A = L and U -2 Find scalars s and t so that LU = A.

Q: Let 6 2 A =| 9 5 11 8 L = 3 1 and 1 4 U = | 0 2 -1 Find scalars r, s, t, and p so that LU = A.

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Q: A force F = -3i +j+6k acts through the point (5,-2,-1). Find its moment about the point (3,0,2).

A: Moment of force about the point is given by cross product of position vector r about a point and…

Q: Q) Let û = 2745, Vz+3 , and w=T-5 find Scalars a and b such that u - av + bw

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Q: 2 1 Given the vector field F=rcoso art -sine ae +rap' sine After solving for the question, what is…

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Q: u = 3i – 2 j+4k v=i-3j-k 18) (Section 9.7) Find the cross product in space i j KI 3 -2 4 -3 -1|

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Q: 3-2. Prove the triple scalar product identity А (Вх С) 3 (АХ В): С.

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Q: YouTrylt 2 Suppose that the acceleration of a particle is given by al =2 cos( 2/i +12sin(2/) i +2A…

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Q: Hiwil show that_Viz 3i+6j_and_V=-i-zj have offosite direction.

A: We have to prove that vectors have opposite direction.

Q: Q3: A given vectors r, = 2i - j+k, r=i+3j-2k, r, =-2i +j-3k and r=3i+2j+5k find scalars a, b and c…

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Q: Masses of 3 kg, 1 kg and 5 kg are located at points with co-ordinates (1,2). respectively.

A: Please refer to the image below

Q: 1-If č=ÅxỂ where Ã= 3L- 4J and B= -21 + 3k what is C? 2- Find the scalar nroduct i E of the two

A: Note: " Since you have posted multiple question. As per our guidelines we are supposed to solve one…

Q: 6. Compute the Divergence and Curl of the following vector F:F = yze#vi + xze#¥j+(e™y + 3 cos 32)k…

A: Use divergence and curl formula Compare hyperbola with standard equation of hyperbola

Q: 3.2.14. Fix 1 <p< oo. Given x, y E lP, prove that ||r+ yllp = ||x||, + ||y||p if and only if x = 0…

A: Let x,y∈lp where 1&lt;p&lt;∞. Suppose x=0, then x+yp=0+yp=yp=0+yp=xp+yp Suppose y=αx, where α is a…

Q: 1- Verify the orthogonality properties of sines and cosines on the interval [—L, L] So, m #n *…

A: The first orthogonality property on the interval -L, L. ∫-LLsinmπxLsinnπxL dx =0,   m≠nL,   m=n…

Q: 1). Let, 2=x+iy *,y€R. In this case, (a). Prove the equations 2-2+2 and a = i.2 %3D %3D

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Q: ).1: Express the vector 2i + 3j – k in the primed triad i'j'k' in which the x'y' – axes are otated…

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Q: 1. Solve for x and y in xy + 8 + j(x2y + y) = 4x + 4 + j(xy² + x) A. 2, 2, B. 2,3 C. 3,2 2.…

A: We can find the values of x and y. Note :As per our Guidelines , we can solve first question…

Q: Hw/ Express in both polar f rectamgular forms ;-234+j4I5] O (6+j5% Ans/ [476 219°25 ® (-16 -jq)"…

A: Handwriting solution

Q: 2. Solve V'u = 0 for r<1, 0<z< T, u(r, 0, 0) = 0, a7(r, 0, 7) = 0, - u(1, 0, z) = z cos³ 0.

A: It is given that

Q: (IV). (10') Let u : 3 Find the coordinates of x with and x = respect to uj and u2.

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Q: 4. Classify and reduce the following equations to a canonical form: (a) yu -x*u, = 0, x>0, y>0. (b)…

A: To classify and reduced in canonical form of the given equation is..

Q: [#1] Exercise 7.46. Prove that if y = y' then y = ky' for some scalar k.

A: Given that γ≡γ' The y can be written as,  γ≡r mod n The y' can be written as, γ'≡ r mod n

Q: a) Use the method of Fredholm resolvent kernel to solve the Fredholm equation of the second kind,…

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Q: 5x – 3y – 13 = 0 is a scalar equation for a line in 2-space. a) State 2 points that are on the line.

A: Given: the equation of straight line  5x-3y-13=0                 Answer a) all the points which are…

Q: the independency of the following solutions y1=sin x y2=4 sin x is Select one: O a. Basis O b.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 2/3: The slope of the 4.8-kN force F is specified as shown in the figure. Identify the scalar…

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Q: Show that the matrix cos e sin e 01 A = =- sin e cos e 1 is invertible for all values of e; then…

A: To show that the matrix is invertible.

Q: Q.1: Express the vector 2i + 3j – k in the primed triad i'j'k' in which the x'y'- axes are rotated…

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

Q: 2.10 Express the following vectors in rectangular coordinates: 2z az (a) A = p sin o a, + p cos o as…

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Q: Solve the problem. Describe all solutions of Ax - b, where 2-5 37 -2 6-5 and b = 7 Describe the…

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Q: Let 6 -1 A = | 0 1 10.5 13 -16 and x =| 21.0 8 -11 10.5 (a) Determine a scalar r such that Ax = rx.…

A: A=6-11013-1608-11,  x=10.521.010.5 a). Consider,…

Q: 6. Find out what kind of conic section the following quadratic form represents and transform it to…

A: Given quadratic equation is x12-12x1x2+x22=70 The matrix representation of quadratic form is…

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

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Q: Q2)A) If U (x,y)%3DXY-sin n is a function and x,y are function of r,9 defined as follow x =r cos 9 y…

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Q: Determine all real scalars 2 and non-zero solutions (x), given the ODE φ" () + λφ (*) -0 for 0 < x <…

A: Given : The Ordinary Differential equation φ''(x) + λ φ (x) = 0  for 0 &lt; x &lt; 1 and  the two…

Q: 1) a) Let u= and v=, where c is an undetermined scalar. What value should c have if u is to be…

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Q: o Let ã = (5,-2,-2) and 5= (-3, -3,0) ニ Show there ane scalars s and t so that -> sá + tb = -…

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Q: Suppose a is a non-zero scalar, v = (a, 2a, –a), and w = which of the following equals (2v) × (-4w)?…

A: Cross product

Q: (b) There are scalars s and t such that c- sa + tb. Use a sketch to estimate the values of s and t.…

A: Given the given vectors are 3,2, 2,-1 and 6,1

Q: If a force F-2i -3j+k acts at the point (1,5,2), then the torque about z-axis is 13k 13 -13

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Q: 19) Consider the vector function 7 (t) = (cos (3t), sin (3t) , 3t). Write 7" () in the form at () T…

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Q: -3 6 8. Let ū = = and w : Is it possible to find a scalar t such 1 -3 -4 that ū + tỉ is parallel to…

A: Given that,  u→=-321, v→=50-3,  w→=61-4 And  u→+t v→ is parallel to w→. To find the value of scalar…

Q: P2: find the Laplacian of the following scalar fields: (a). U = p.z sin (9/4) (b). V = x² + 2y² +…

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Q: Q#1 (A) Find the reflection through origin and projection onto , axis of the given vector 3 = (-2,1)

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Q: 2 1 Given the vector field F=rcosoa,+ -sine ae +rap' After solving for the question, which of the…

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Q: 1. (a) Consider the equation e'un+2ayury +2e"u- sin(y) u =0, where a is a real constant. Determine…

A: We will use basic knowledge of PDEs to solve this question.

Q: Let a, BE (0, 2=] and let QE M22(R) be an orthogonal matrix such thnt COs a cos Q = sin a sin 3…

A: