Vectors: 5. Write the components of the following vectors: 6. Write the following vectors in terms of î and ĵ: 5a. Î, 6a. (2,0), 5b. -7ĵ, 6b. (0,-8), 5c. 4Î + 9j, 6c. (7,3), 5d. 5î - 3ĵ. 6d. (4,-1).

Q: 3. Determine the value of a and b if the vectors à = [a, 26, 32] and b = [49,-91,b] are collinear.

A: Given,            Two vectors are a→=a,26,32 and b→=49,-91,b are collinear.To find : Determine the…

Q: For the vectors a = (2, 8) and b = (4, 6), find orthab. 56 orthab = V 68 Illustrate by drawing the…

A:

Q: Given vectors a = (1, -3) and b = (-2, 0), find 4a - 2b. | Write your answer in component form. 4а -…

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Q: Given vectors = (-6,-3) and = (-3,5); find -3u+40. O=(29,6) O=(-27,-15) O=(27,8) O=(-15,-27) 0 =…

A: The objective of this question is to find the resultant vector of -3u + 4v, where u and v are given…

Q: a⃗ =⟨5, −1⟩ and b⃗ =⟨−2,−2⟩. Represent a⃗ +b⃗ using the head to tail method. Use the Vector tool…

A: See the details solution in below

Q: Given the vectors component form. = (-4, 2, 1), (3, 1, 5), calculatex. Write your final answer in =

A:

Q: Find the cross product of the vectors a=⟨2,3,−2⟩ and b=⟨−3,−6,−4⟩. Select one: a. ⟨0,2,−3⟩ b.…

A: a*b = <-24,14,-3> option 'e' is correct

Q: à = (–3, –5) and b = (1,4). Represent a + b using the parallelogram method. Use the Vector tool to…

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Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

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Q: Sketch the vectors = (2, 3,-6) and w = (-1,1,1) and draw -U, v + w and 7 - w.

A: The given vectors are

Q: %3D 2a+3b+4c = ( 3. 2. =q C. 3. 4 Vectors

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Q: Given vectors a = (2, 6) and b = (1, -3), find - 3a+5b. Write your answer in component form. -3a +…

A: We need to find the sum of given vectors.

Q: For the vectors a = <2, 8> and b = <4, 6>    find orthab.

A: The objective of the question is to find the orthogonal projection of vector a onto vector b. The…

Q: Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and 6

A: Vector addition

Q: Find the sum and difference of the following vectors:     a. + b. 0

A: Consider the part (a): a→=-4i^+6j^b→=5i^ a→+b→=-4i^+6j^+5i^=-4+5i^+6j^=i^+6j^…

Q: Assume v₁ = [3,-2] and v₂ = [-1,4]. Find the sum and difference of vectors v₁ and v₂. V₁ + V₂ = [ ]…

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Q: 10. Given vectors a = (3,-5) and b = (-2, 7), find 4a - 5b

A: Given a=(3,-5) and b=(-2,7)Then find 4a-5b

Q: a. Write the vector (-4,-8,6) as a linear combination of a₁ = (1,−3,−2), ẩ₂ = (-5, -2,5) and a3 =…

A: The given vectors  and .(a) The aim is to write the vector  as a linear combination of the given…