3- The result of dot product between A=(2, 3, 1) and B=(-1, 5, 1) is: a) A. B=14 b) A. B=-34 c) A.B=34 d) A. B = -14

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: Do b

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Q: abc and dbf are vertical angels, with m abc=4x and m dbf= 96x-12)

A: Here we find the abc and dbf are vertical angels.

Q: Given A= 7 2 80 and B= - 2 3 find: a) A+B, b) A-B, c) 2A+5B

A: We need to find out the values as given.

Q: Q) find Projs ぶっi+) +3K, 5こてi-j+k

A: Given vector is : a→=i+2j+3kb→=2i-j+k To find the projection of b→ on a→.

Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

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Q: Cx-3) Gょ2)tG3)

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Q: 6.) Simplify: -2.5(-2b+ 3) – 6b

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Q: lAcOs3x+B sin sx) この

A: Given solution with condition is  yx=exAcos3x+Bsin3xy(0)=0y'(0)=1

Q: -1 -4 -1 5 21 A -2 -5 -14 4888|16 Find the LU factorization of A = A =

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Q: Explain why (a +b)² # a² + b². (Hint: draw a square with side length a + b.) 3.

A: Let there be a square with side (a+b)We know the area of square is side*sideArea=(a+b)*(a+b)…

Q: Givon flox) =(-2)" and g() Soct2, glee) both (fog) (2) and (gof) (2) %3D

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Q: 3. State the GCF of each pair of terms. a) 6x and 10x b) 154³ and 20² c) ab and a²6² d) -2x¹y¹ and…

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Q: Assume that 12 + 22 + · · · + n2 = an3 + bn2 +en + d. Find a, b, c, and d.

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Q: Find the following dot product •

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Q: a) Verify using an example that a (B•) = (a•5)• č is not true. Explain your reasoning both…

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Q: 1. Find a b (a) a =, b = (b) a =, b = (c) a= 27 +3j - 4k, b = i-3j+k

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Q: Compute: (1, 2, 3) ·(-2, 1, 0)

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Q: Lot a,b,c be positive intergers, Prove that (ac, bc) = (9,b)c.

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Q: 9) translation:1 unit left and 6 units down (1, 3), (3, 5), H(4, 3) A) J(1, -2), /(3, 0), H(4, -2)…

A: 9)  Given The points are J(1,3) ,I(3,5) and H(4,3)   To find points after translation  Here…