If r(t) = i + tj + t²k, then select all of the following that are true

Q: Are the following two sets of coefficients orthogonal? -1, 0, 0, 1 -1, 1, 0, 0 Yes No

A: Given data is as follows: -1,0,0,1 -1,1,0,0 Yes the following sets of coefficients are orthogonal as…

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: Given u x = (3, 2, 3), find (ū – 57) X (+20)

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Q: 4|\B Prove that (V3+ i)6 = -64

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Q: Find a x b, and c* (a x b) a = 2i + 3j - k, b= -1 + 4j + 5k, c = 2i + 3j + 4k Show all steps

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Q: Find the value of t so that t t = 6 -1 t

A: tt-1t=6

Q: Verify that (AB)T = BTAT.

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Q: B CA writen as .A (V x)(x EB → EA) .B (3x)(x EB → x EA) .C (Vx) (xEB+xE A)

A: A set 'C' is said to be subset of set 'D' if every element of  set 'C' is contained inside set 'D',…

Q: 2j (5-j3) B) Given that (2a+ jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

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Q: (b): Evaluate: (8t³ – 9t² + 10)dt

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Q: Determine C if u=v=O (20 — 5и + 3)du - (20 + 4и — 6)dи %3D O 27 L- C

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Q: Suppose that |u xv = 7. Find ||(5u + 6v) × (3u - 9v)||-

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Q: Let à = 2i +4j - k. Find a.

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Q: Find curl (82 i + 9x j + 6y k). curl (82 i + 9x j + 6y k) = = ( )k )i + (i )j + (

A: To Find : curl(8z i + 9x j +6y k)

Q: O Determine rand s so that, 3.

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Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

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Q: What’s (E∩F)×(F∪G)

A: We are given that E = {1, 2}, F = {2, 3} and G = {3, 4}.Now, E∩F = {2} and F∪G = {2, 3, 4}.

Q: If x=y+qp and f=xy+qp² Express x in terms of q,p and f

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Q: Let V4 = 4 V2 = V3 = -2 Pi -2 P2 2 2 and S = {v1, v2, V3, V4}. Determine whether pl and p2 are in…

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Q: The domain of x2 - 3x -10) is:

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Q: Find the center and radius of a circle x+y2+2x+10y-4-0

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Q: Suppose ū=i- j, v = −2i + 4j+3k and w = -5i + 4j. Compute the following values: |u| + |v|=| |-6u|…

A: Since you have posted a multi subparts question according to guidelines I will solve first(1,2,3)…

Q: Determine the simplified form of (4 – 37) (–9 + j) – (8 – j5).

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Q: Let à = 27 - 5j + 4k and b = − − 5j + 4k. Find -a + b. -ā +b =

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Q: 2j(5-j3) B) Given that (2a+jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

A: Solve the left and right-hand side independently left-hand side 2ab+3ab+jb2-6a2 5ab+jb2-6a2…

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). – 2,0). - - 2u + 20

A: Given:-u→=<3, -4, -10> andv→=<-7, -2,  0>

Q: A + B) E Mmxn - (B + C) = (A + B) + C +0= A

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Q: Q1: Determine if a +b+c+d=10 where a, b, c, d ER are such that: 6x³+3x²-5 -1 2a x-l + 3b x+1 + cz…

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Q: L{t(u0 – u1) + t²u1}.

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Q: 3 | (16t³ – 9t² + 7)dt Evaluate:

A: Given problem:-

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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