IF: A = 2i - j+2k and B=9i+20j + 12k Find: Unit vector for A direction. Unit vector for B direction. Unit vector orthogonal for A and B.

Q: (6) The position vector of a particle is F = 4i-3j+ k, It is acted upon by a force F= 21-4j+8k. Find…

A: By using definition of tarque, we find the cross product of F and r , as in next step.

Q: x₁ - 5x₂ = ₁ X1 3x₁ + 2x₂ = b₂ i. b₁ = 1, b₂ = 4 ii. b₁ = -2, b₂ = 5

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: In Exercises 1-8, solve the system by inverting the coefficient matrix and using Theorem 1.6.2. 1.…

A: 1 & 5 asked and answered.

Q: using determination of integrating factors y (y^3-x) dx + x(y^3+x) dy=0 Attpemt only you can solve…

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Q: 7. Which of the following sets of functions is linearly dependent on R0,2? (a) {6, z, sinz} (b) {1,…

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Q: 2. Consider the following equations in which X₁, X2..... X₁ are variables, and a₁ ,a2.... an are…

A: Below given clear explanation and neat sketch

Q: 2x + 3y + 6z = 3 + 2y + 2z = −1 using 3x - 4y - 5z = -6 B. Solve the linear system-x 1. Cramer's…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

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A: We have to find the volume of the given parallelepiped.

Q: 14. The four women Anne, Betsie, Charlotte and Dolores and the six men Eric, Frank, George, Harry,…

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Q: 22. Data may have a positive skewness mean long tail of curve to the left. O True O False

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

Q: Find all the diagonal matrices of order 2 that sex inverses of themselves Find all diagonal matrices…

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Q: a, b, c E R. 1 be R³ (a) The set of all vectors (b) the vectors of the shape (c) the vectors Which…

A: We know that the set ℝ3 is a vector space and the set is defined as ℝ3=x, y, zT  x, y, z∈ℝ i.e., it…

Q: ANTIDIFFERENTIATION. Evaluate the following

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: Question 3 Solve the problem. 1-3 21 Let A--2 5-1 and b = b2 3-6-3 Determine if the equation Ax-b is…

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Q: 8. Show that the volume of a cone with height h and radius a equals Ta²h using 3 h iterated…

A: We have to show that the volume of a cone with height h and radius a equals (1/3) πa2h using…

Q: Prove valid, first without using IP or CP, and then using IP, and compare the lengths and difficulty…

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

Q: 1. Find the Fourier Sepise of 4x: 0<x< T f(x) {" 1:-π<x<0 on interval-A

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Q: 2. Marie, Ten-ten, My-my, Shayne, and Gelli plan to form a musical band. In how many ways can they…

A: We have to find how many ways can they be seated in a round table if Ten-ten and My-My will not sit…

Q: 8. The polynomials x - 1, (x - 1)2, and (x - 1)³ span R3[r]. 9. If S and T are finite spanning sets…

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Q: 1. What is the difference between Gaussian Elimination and Gauss-Jordan Elimination

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

Q: 0 Given matrix B= -4 11 5 14 -13 -4. What is the element B₁3 in the Adjoint Matrix [B]¹? 6

A: The adjugate, classical adjoint, or adjunct of a square matrix is the transpose of its cofactor…

Q: A nontraditional deck of cards has 30 total cards: 5 hearts, 10 clubs, 8 spades, and 7 diamonds. The…

A: Solution :-

Q: with Solve the equation below using Runge-Kutta method step sizes h = 0.1 over [0,5] interval of…

A: The second-order differential equation given is as follows: x''+4x'+13x=40cost With the initial…

Q: Does law of inverses hold for the following: 1. Addition table for Z9 2. Multiplication table for…

A: To find the law of inverse hold for the given sets or not :-

Q: f(t)=48(t+2)

A: This is a problem of the Dirac Delta Function.

Q: 10. [ Find the flux of the vector field F(x, y, z)= 3 over the surface S, where S is the surface of…

A: The general form of a vector-valued function in three dimensions is given by F→=Fx, Fy, Fz, where…

Q: 21. Let Ax = 0 be a homogeneous system of n linear equations in n unknowns that has only the trivial…

A: The given question is related with linear algebra. Let Ax = 0 be a homogeneous system of n linear…

Q: 2000 2002 أيره 2020 (+1)de 3

A: As per the question we are given a definite integral involving the derivative of the, impulse…

Q: 1.7-4 Use Taylor's formula (1.32) to find a power series expansion about c = 0 for sin(#x/2). Find…

A: Given the function is fx=sinπx2

Q: Thingamabob Sales Yaster Inc. is trying to enter the thingamabob market. The research department…

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Q: a. a⋅ If R = 11 and C= 1-5 -3 | find the inverse of C and -31 4 hence solue the matrix equation R.CS

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

A: We have to determine that the given differential equation is exact or not. If it is exact then we…

Q: 1.3 Matrices and Matrix Operations 39 Working with Proofs 35. Prove: If A and B are n x n matrices,…

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Q: How do I parameterize the portion from Rei pi/4 to 0?

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Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. 1 Find the unit vector…

A: Given, X = -i + 3j  and Y = 4i -2j + 2k

Q: 12 1 If R = and S= 31 0 that R² = 2R+cS. (5 pts) 0 1 find a number c such

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Q: ts of peppers on day one, 7 bas ets more than the previous day er Piper pick on day 20?

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Q: Hence evaluate

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Q: 7. There are 12 students in a class. In how many ways can the 12 students take 3 different tests if…

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Q: (a) Is f continuous at the point (0,0)? Justify your answer. (b) Does the equality lim lim f(x, y) =…

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Q: The principal part for x→→> 0¯ of f(x) = 2x + sin(x + x4/3) (with respect to p(x) = x) is (A)2x (B)…

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Q: # 10. f(x) Determine a possible equation for f(x) given its graph below. 3 Equation: f(x) = بابل

A: To Find: Equation of the function which is represented by the curve drawn in the figure.

Q: хун + (у1) 2 = 0 C

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Q: If p is true, q is true and r is false; what is the truth value of (pv~q)^r? a. true b. false a O b

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Q: a) Using the substitution method to evaluate the following integral dx. b) Using the integration by…

A: 2. (a) Given,         ∫x-1x5dx

Q: Solve for X, show all calculation in binary number system only X = ((1110)₂-(0011)₂) (10011010)₂)…

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Q: Reduce the matrix to its reduced echelon form. 92-6 -59 6 7 6 -61 04 6 -10

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Q: 1. Find a solution of the system: x₁ = 2x₁x₂ x₂ = -x² x₁ (0) = x₂(0) = 0

A: 1.The given system of differential equation is                          x'1=2x1x2x'2=-x12 where…

Q: 1)thee sind by using the residues is equal to 121-1 a) 2/7 b) 0 c) 127 d) z

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: Rangaswamy owns 50 acres of land in the Hassan district of Karnataka on which he grows bananas and…

A: Decision variables: Let us take the number of acres for banana production as x and the number of…