The scalar product equal (with philand phi 2 is orthonormal) lw> =i\@,> -2|@,> Ix> =3|0,>-2i|92>

Q: Find the sum of the vectors (–1,4) and (6, –2) and illustrate geometrically.

A: A vector V→=a,b can be represented on the cartesian plane, From the vector law of addition,…

Q: ü = [1,1, 0] and i = [-1,1,0]. Find the cross product

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Q: Prove Taylor's theorem.

A: The objective is to prove Taylor's theorem. According to Taylor's theorem we have, If fx be a…

Q: Explain fermat's little theorem.

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Q: Find the angle between the vectors (9, -2) and (-8, -3). Carry your intermediate computations to at…

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Q: What is the scalar projection of á = (1,0, 1) onto b = (0, 3, 4)?

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Q: Write the finite difference approximation of utt- Uxx 0 used to solve parabolic PDES. %3D

A: To write the finite difference approximation of - utt-uxx=0—(1) utt is given as-utt=ui,j+1-uijKand…

Q: Find the inde finite integrel. de 9- 16x"

A: NOTE: Refresh your page if you can't see any equations. . .............(1) substitute…

Q: The vectors (2, 2, -1) and ( -1, 2, 2) are orthogonal. Divide them by their lengths to find…

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Q: Vectors are drawn from the center of a regular n-sided polygon in the plane to the vertices of the…

A: Let us consider an incomplete regular polygon of n sides and the same polygon after rotation. We…

Q: What is the force (in Newtons) that holds the spring stretched at the same distance (15 cm)?

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Q: compute the dot product. (3, −2, 2) · (1, 0, 1)

A: The dot product of three dimensional vectors can be calculated by using the component formula for…

Q: Find the angle between the vectors (5, -3) and (-9, -8). Carry your intermediate computations to at…

A: Using formula of Angle between two vectors.

Q: use Hhe factorization A- PDp to compute A. where k represents an arbitrary positive integex -2 12 3.…

A: A=-212-1-3 ,P=3411 , D=2001,P-1=-141-3using factorization theorem A=PDP-1 to compute Ak where k…

Q: Find the angle between the vectors (7, 3) and (8, -1). Carry your intermediate computations to at…

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Q: Find the angle between the vectors (9, –7) and (8, 6). Carry your intermediate computations to at…

A: To Determine: Find the angle between vectors

Q: 215 5. (a) Transform the real integral Pz dr into a complex inte- gral clearly specifying the…

A: We transform given integral into complex integral.

Q: Please show all work integrate ∫14 2(u1/2) du

A: Integration

Q: 44. Find a parametrization of the right branch (x > 0) of the hyperbola 1 - using cosh t and sinh t.…

A: The equation of hyperbola is xa2-yb2=1   The right branch (x>0) of the hyperbola can be…

Q: Apply Gram- Schmidt process to the vectors 3

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Q: Solve for DE: separable DE

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Q: Suppose that a parametrization for the solution set to the equation Ax = b is -27 2 -3 + x2 -4 + x3…

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Q: Find the angle between the vectors (8, 7) and (-2, 1). Carry your intermediate computations to at…

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Q: To prove L'Hopital's Rule for the case, you use what Theorem and what statement is a direct result…

A: For ∞∞ case, we can use the l'Hospital rule by taking the derivatives of numerator and denominator…

Q: Find the angle between the vectors (4, 2) and (7, -2). Carry your intermediate computations to at…

A: solve the following

Q: Find the angle between the vectors (-8, 1) and (5, 4). Carry your intermediate computations to at…

A: Let, the given vectors     u→=-8,1,  v→=5,4we have to find the angle between the vectors.

Q: Find the modulus = (ii) -1+3i 2-7 O Locate the numbers Z,+7 and Z,=Zz Vectorially when : + bi) ž,-…

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Q: Show that A and AT have the same nonzero singular values. How are their singular value…

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Q: Find the angle between the vectors (7, -6) and (7, 3). Carry your intermediate computations to at…

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Q: ints to quadric polynomial surface similar to photo? can use some least square process with a…

A: The least square method is used to fit: Straight Line Second-degree parabola A polynomial of kth…

Q: Find 2 pOsitive real numbers x and y such that their s um is 40 and their product is as large as…

A: SOLUTION-

Q: Scalar mutiple of z=(4,3,-2)

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Q: What is the integrable form of dr? du u du

A: Given integral is:

Q: -2n de 24. Show that 2n. V2-cose

A: We have to prove given identity:

Q: Find the angle between the vectors (-8, –7) and (-6, 4). Carry your intermediate computations to at…

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Q: Compute the order of each element in the Quaternions, Q8. Show your work.

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Q: prove that (z(square root 2,+,×)) is integral domain.

A: We have , ℤ2   =  a + b2 / a , b ∈ ℤ We need to show that  , ℤ2 is integral domain. We know that , a…

Q: Find the angle between the vectors (5, - 3) and (8, 7). Carry your intermediate computations to at…

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Q: Find the sum of the vectors (3,0,1) and (0,8, 0) and illustrate geometrically.

A: Solved below

Q: 9. The triple scalar product is given by (u x v) w = E,",V,W Expand this equation X V and simplify,…

A: Let u=(u1 , u2 , u3 ) and v=(v1 , v2 , v3 ) and solve it.

Q: Sketch planeglven by Iz-31 = 1Z + lomplen the Cunve in the |ス-3| - |N+3i| 2. 2. 2. =フナ

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Q: If A non singular 3x3 matricies and p is non-zero scalar. What is the correct expression?

A: This question can be answered under an assumption that a = pA

Q: 31 - 3+ 2i 3 What is the inner product of the vector and with 2i 1 – 2i respect to standard inner…

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Q: what is inner Product ?

A: Define inner product.

Q: Find the scalar product of x and y x =(-1, 0, 2) and y =(-7, 7, 3)

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Q: Chapter 7, Section 7.3, Question 003 Evaluate the integral. Enter the answer in expanded form. Do…

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Q: basis funcitons: [1, x, x2] parameters: [ao aj az] Please apply chi^2 minimization to derive the…

A: As per the question we have to find the quadratic equation using chi2 minimization. In other words,…

Q: Find the angle between the vectors (9, -5) and (9, 2). Carry your intermediate computations to at…

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