Use correct vector notation at all times! 1. If a = (1, -3, 3) and = (2, — 1, 2), find: - a) 4a-b b) | a c) a b . d) a x b 2. Are the vectors = (2, — 4, 1) and W = (3, 2, 2) orthogonal? Show work and briefly explain. 3. Find a × b′if a=3i-2j+ K and = 4 +3K

Q: Which ONE of the following formulas involving vectors a, b.c, a # 0 is meaningless? A. B. Oc. (a…

A: We have to find which formulas involving vectors  a→,b→,c→ and vector a→ does not equal to zero…

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: - - 1. If à = 2ảx + 6ảy – 3ả₂ and ☎ = −3ảx – 4ảy – 5ả₂, find a. a unit vector in the direction of A…

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Q: 5. For the vectors = (-3, –4) and v = (-2, 2) Find the dot product u · v, and the angle 0 between…

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Q: The point t has coordinater (4.1), AB = |- || B² 1-5. Find the coordinater of 5 ance the column…

A: We have to solve given problems:

Q: 6. Write DÉ as a linear combination of the vectors i and j a) D (9,-6) E (-7, 2) first write in…

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Q: For the following three vectors, what is 2. Ć ·(3 Á × B )? В = 3.00î + 3.00ĵ – 4.00k B = - 3.00î +…

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Q: 02. Given the vectors : A = (3.-1, 2), B = (0, 1, 1) and C- (2, 2,-1), find: the angles between the…

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Q: 5. PQRST is a pentagon. State a single vector that is equivalent to each of the following: A. PQ +…

A: Solutions

Q: Let a (6,7, –2) and b = (4, 4, –1) be vectors. Compute the following vectors. A. a + b =( 10 11 -3…

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Q: 2. Let vectors a = (3, 1, 2), b = (0, 2, 1), and c = (1, 1, -1) be given. Find (2a + 3b). c. • Find…

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Q: 5. Write the components of the following vectors: 5a. ˆı, 5b. −7ˆȷ, 5c. 4ˆı + 9ˆȷ, 5d. 5ˆı − 3ˆȷ.6.…

A: The objective of the question is to write the components of the given vectors and to express the…

Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,

Q: The vectors a=⟨2,3,z⟩ and b=⟨1,2,z⟩ are orthogonal to c=⟨z,r3,−z⟩, where z and r are nonzero real…

A: Given:Vector a=2,3,z,b=1,2,z are orthogonal to c=z,r3,-z

Q: If v + w = [ 5/1 ] and v - w = [ 1/5 ],compute and draw the vectors v and w.

A: Vector: An object which has both magnitude as well as direction is called a vector. We can draw a…

Q: Let a = (-2, 0, 5) and b = (-3,- 2, 4). Find the angle between the vectors (in degrees).

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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: 1. Let x = i +4j + 2k and y = i - 3j - k. In this question, write all vectors in i, j, k notation.…

A: Let (a) To find .(b) To find .(c) To find .(d) To find .

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: (H) Find magnitude and angle (deg) of the following vectors, where x=x-component & y-y-component.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Determine the vector 2a – b if a = -4i + 5j and b = 7i + 2j. %3D

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Q: Let A = 2i + 3j and B = 4i − 4j. Show graphically, and find algebraically, the vectors −A, 3B, A −…

A: Given: A=2i+3jB=4i−4jFind:−A=?3B=?A−B=?B+2A=?12(A+B)=?