123 2 3 5 is all vectors e column space of A 246 bi b 3= by ER such that by O a. by= by Ob. 2by b and find the correct ratio or relation between (B1,b2) and (b2, B3) Oc by 26, d. by 2b, CS CamScanner igo ä>guuaal|

Q: a= b=

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Q: Lot = 140 11 9 -1 -3 and 17== 5 -6 -4 E # Write as the sum of two orthogonal vectors, in Span {u}…

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Q: 9. Find value of a for which the following vectors are orthogonal: u = (3, a, 4), v = (-2,5, a) O a…

A: Givenu→=3, a, 4v→=-2, 5, aTo find    Value of a for which both vector orthogonal.

Q: . Find a unit vector in the direction of 2 25 5 1

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Q: B

A: For two vectors A and B, A-B is nothing but adding Aand -B i.e. C=A-B is the resultant of Aand -B.

Q: Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find the area of the parallelogram…

A: The objective of this question is to find the area of the parallelogram formed by two vectors v and…

Q: 6. Use the vectors to find the indicated quantity. a. Find 3u-v, u=(5, 7>, and v = (-5, 2> %3D b.…

A: Given that,  u = <5, 7> and v = <-5, 2> If x = <a, b> and y =<c, d>are two…

Q: Find -3w - 6 (u + 2v) if u = -3j, v = i + 2j, and w=--.Express your answer as a linear combination…

A: The given vectors are:u=-3jv=i+2jw=-13i-73j

Q: / Answerr true or Satse VAngleo- I meet makes the vectors AB 6

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Q: Let = PQ, where P = (1,4), Q = (-1,5). Using the following points, which pairs form vectors that are…

A: v→=PQ→P=(1,4)Q=(-1,5)PQ→=Q→-P→

Q: Consider the array of vectors in the figure below. +y G H. R K A L 1. A + B + C + D + Q + H + Í + J…

A: # We are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Q1: suppose the middle of each side of the triangle is a vector from the vertex (1,2,3), (3,2,1),…

A: Vectors

Q: find the diJ tance betueen the vectors

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Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

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Q: s of a and b for which the following vectors a + b, 24), v = (-10, 15, a - b) D, b = 2 9, b = 2

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Q: Let v = (3, 0, 4) and w = (5, -2, -5). Compute the following quantities: a. The parallel projection…

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Q: 3. Write ū as a sum of vectors, one in the direction of and another orthoganal to a. 18 [4] -5 [3³]

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

Q: 19. Given the following vectors: A = 2i-3j+ 6k, B = 8i +2j - 3k and C = i-4j + k. Find * (A+B).C a.…

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Q: Prob. 2. ū and i are two vectors. If |피 = 4, [히 =3 and 2(ü, ü) = 2π/3. Find: a) ü.ㅎ b) ū.u c) |3ü +…

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Q: 1 V₁ = 2 - Copyright Texas State University, 2 3 rights reserved. V₂ = University, 2023 1 1 V3 =…

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Q: 2. Which of the following is not a unit vector? A. (0-2) 0. √5 √5 B. (cos 1, sin 1, 0) C. (1, 1, 1)

A: A vector v whose magnitude is 1 is called a unit vector. A vector v whose magnitude is any positive…

Q: -5 -71 -2 -4 -8 -3 -9 [-1 [3 -2] t A = v = |1 w = -1 and x = 1 -3 5 1 4 v in N(A)? Type "yes" or…

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Q: A parallelogram is formed by the vectors a = (1, 0, -1) and b = (2, 1, 1). What is the area of the…

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Q: 4. Given the following column vectors, a = (3) b = (5) 2 find 3a – 2b. ( ) Answer

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Q: Q1: The following vectors; Ā =, B = 1- Find the cross product 2- Find the angle between à and B. 3-…

A: Consider the vector, A→=1,4,-1,        B→=2,-4,6 To calculate the cross product of vector,…

Q: y, 2023. Answer each of the following for vectors u = 1023 073 All rights reserved. -5 5 and v = 3

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Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: it = (1, 0) for the unit vector, Daf(-3, 4) = fay(-3, 4) to you. True False

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Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: Explain the answer:Find the component form of the vector 2) Given: P = (0, -4) Q =(-1,9) Find: 8PQ…

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Q: Find a unit vector n with the same direction as the vector v = 3i + 6j − 2k. Explain please.…

A: The answer provided below has been developed in a clear step by step manner.