Given the interpolation: (u – u5)N5,1 и6- и5 (u7 – u)N61 N5.2 (u): и7 — и6 For knot vector U-[0 0001234555 5]. what is Ns.2 at U-2.75

Q: If u= (2, 1) and v= (4, –16), find 4u+ v. 4 Select the correct answer below: O (9,0) O (6. –15) О…

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Q: u= (2, 1, –1) v = (-4, 3a + B, 2) w = (a, 0, 26) Find the values of a and ß such that u is parallel…

A: In this question we will use basic of calculus i.e concept of vector product. We will use the…

Q: Let ū = (-1,2,4) and ū = (-3,5, 2). Compute the following: (a) ū+ū (b) .공 (c) ||해 (d) ũ - 7 (this is…

A: (a) Find u→+v→ as follows: u→+v→=-1,2,4+-3,5,2          =-1+-3,2+5,4+2          =-4,7,6

Q: Let u = (1, 0, 2), v = (0, 1, 1) and w = (2,1,0). Which of the following statements are true? (i)…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Suppose ū = 2j + k, ū = 2i – 4j + 2k and w = -5i – j+ k. %3D Compute the following values:

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Q: Evaulate ∫C▒1/sinzdz , Where C is the rectangle with vertices at -1-i, 8-i,8+i and -1+i oriented…

A: Consider the provided question, The given rectangle with vertices is drawn as,

Q: In how many different ways can 12 people occupy the 12 seats in a front row of a mini theater ?

A: Given: The number of seats available is 12.  The number of people to be arranged in seats is 12.

Q: • r : (x, Y, z) = (7, 8, 2) + X(-3, –8, 2) %3D 7 – x y – 8 - x y – 8 2 – z • S : -7 -6 4

A: Given query is to find the angle between two line.

Q: 6.- Evaluate T(au + bữ), considering the following 1 T(ī) = 2, T(5) = , T(ī) 2, a = -1 and b = 2 3…

A: T(au+bv)=T(au)+T(bv)

Q: Determine Cif u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du %3D 0

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Q: If u * v = 2i - 3j + k, what is v * u?

A: As we know a×b = - b×a

Q: Let A = Q1R1 = Q2R2, where Q1 and Q2 are orthogonaland R1 and R2 are both upper triangular…

A: Since A = Q1R1 = Q2R2, we can write:   Q2^TQ1R1 = R2   Since Q1 and Q2 are orthogonal, their product…

Q: Suppose that u × v = ⟨1,0,4⟩. Find (2u−3v) × v.

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Q: Write R codes for the following problem: 1. Using any kind of loop calculate the sum 1 Σ. '(2i)' i=l…

A: Here we need to use R code for finding the given sum. Here we are going to use for loop in this…

Q: Q2. Let a vector A = [8-463] a) Compute the square of each element. b) Compute the square root of…

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Q: Compute + 7 and u-27 given that a. u + v = b. u-27= F 13 = H and v || = [23]

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Q: 25) Which notation describes the translation of the sailboat B(70, 20) to the lighthouse B'(10, 80)…

A: Given: B70,20, B'10,80 For reaching from point B to point B', we have to use operation x,y⇒x-60,…

Q: A spring has natural length 0.75 m and a 5 kg mass. A force of 25 N is needed to keep the spring…

A: Mass of spring,m=5kg Natural length of spring,l=0.75m Force keep spring at 1m is F=25 N Intial…

Q: If u = 7i - 2j + 3k and v = -i + 3j +5k then Projuv is a- 62 62 10 b- +j+k 35 35 62 10 d-i+j+k 35 35…

A: Given vectors are, u=7i^-2j^+3k^  and  v=-i^+3j^+5k^ Now projection of v on u is given by.…

Q: If u = 2i + 5j; v = i - 2j; w = 3i - j, so u + v * w is:   -3   3   6 -6  9

A: Given that: u = 2i + 5jv = i - 2jw = 3i - j To find: u + vw

Q: Compute the orthogonal projection of u onto v. Use the square root symbol '' where needed to give an…

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Q: q9

A: Finding the projection of u → onto v →:   projv →u →=v →·u →v →2·v →Here v=2i-2j-4k or (2,-2,-4)…

Q: maximize: subject to: 2x1 + x2 0≤x≤ 5 0 ≤ x2 ≤7 x1 + x₂ < 90

A: (.) Given ,     In simplex method we add slack variables.Let slack variables,  then inequalities…

Q: Let u = (2, 4) and v = (1, 12) and w=(−6, −4). Find: 12. (v.w)-(v.u) 11. 3(u-w)u 13. 2-u 14.…

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Q: Assume that (U)=110, n(B′)=55, n(A∩B′)=25, and n(A∩B)=27. Find n(A∪B)

A: For any two events A and B, it is known that n(A or B) = n(A)  + n(B) – n(A ∩ B).

Q: What meaning can be attached to this cross product: r the toolbar, press ALT+F10 (PC) or ALT+FN+F10…

A: The cross product of two vectors A→ and B→ is given by; |A→×B→|=|A→|×|B→|×sin θ And the cross…

Q: Pretend u x v = (0, 3, 2). What is (6u + 3v) × u? A) (0, 18, 12) B) (0,0, 0) C) (0, –9, –6) D) (0,…

A: To find the value of the given cross vector.

Q: 9. Let V be the set of all ordered pairs of real numbers, and consider the following addition and…

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Q: For any two vectors ā and 5, show that (1+laf)(1+|5)=|1-a5f +a+5+āxbf.

A: Explained below

Q: 1. fxv2x+ ldx ans : 능(2x +1)-1(2x + 1) +c 2. Cilt- 4dt

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.