Emily draws 2 vectors a and b. Cindy draws another 2 c and d. The angle between a and b is smaller than the angle between c and d. If the component forms of the vectors are as follows: а (ах, 5) b (4, 3) c (-24, 7) d (-12, 5) Which of the following are possible for the value of ax? Show your work. 7 O O O O O

Q: 1. Given the vectors l = (2,-6) and 7 = (5, 5) , find %3D a. 37 - 7

A: The given vectors,         u→=2,-6 and v→=5, 5

Q: If a and b denote the vectors OA and OB, indicate on the same diagram the vectors OC and OD denoted…

A: As first question and second question are independent so I am solving only first question.If you…

Q: What is the angle between the following two vectors (to the nearest degree)? u→= and v→= = 49°…

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

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Q: 1- Given the vectors A=[2, 3, -5], B=[8, -4, 3], and C=[-6, -2, 0], simplify or evaluate the…

A: We have to evaluate the following

Q: A. Find the values of x such that the angle between the vectors and is 45. B. List four main…

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Q: For the pair of vectors, find U+V, U-V, and 3U-4V. U = , V = U+V = ? U-V = ? 3U-4V = ?

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Q: Suppose ū = (2, 2) and ī = (8, –4) are two vectors that form the sides of a parallelogram. Then the…

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Q: Given vectors a = (-4,3) and b = (2,9), what are the components of vector -a – b? (а) (-6, —6)…

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Q: Which of the following pairs of vectors are perpendicular to each other? a) (4, 14, -18) and (6, 21,…

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Q: Find the measure of the angle between the two vectors. 5) u= (4, 9) v =(-6, -8) 6) u= (8, 5) v =…

A: To find - angle between u and v Use of - cosine formula of finding angle between vectors

Q: Suppose u (2, -2) and = (6,2) are two vectors that form the sides of a parallelogram. Then the…

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Q: For the two vectors a and b, we have |b| == 5, |a] = v2, and the angle between a and b is a/4. Then…

A: Given two vectors and magnitude, angle of the two vectors then a. b = |a|.

Q: For the vectors a = (3, 12) and b = (6, 9), find orthab. orthąb =

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Q: Find the requested vector in R2 where A = (-3, 6), B = (8, –6) and C = (7,4). -2AB + 7CB = help…

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Q: Determine the dot product uv, if |||| = 9 and |||| = the angle between the two ㅠ vectors is = 3…

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Q: If the vectors ü =[-9, a, 15] and V= [b, 2, - 5] are collinear, then: a = 6 and b = -3 Oa = -6 and…

A: by using collinear concept

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: Consider the vectors ä = 5i+ 3- k, 6= 5i – 3 + k, 1+53+ 6k d = i+3+6k, j = -1-53+ k. Which pairs (if…

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Q: Determine the value of m and n so that the vector ?⃗ = (2, 4, 6) is perpendicular to both the…

A: To find: The value of m and n. Given: The vector 2,4,6 is perpendicular to m,n,10 and 6,m,n. Concept…

Q: Let ABCD be a parallelogram 1. Express AC in terms of AB and BC 2. Express AC in terms of AB and CD…

A: Consider the given figure.

Q: .If A = 2a, + a, - 3a, and B = 4ax + 2a, – 3a, are vectors, find (a) A· B (b) Á xB (c) Angle between…

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Q: For what values of a and b are the vectors (a-b,2) and (4, a+b) equal? For what values of a, b, and…

A: Two vectors are equal if the corresponding components are equal . The vectors a-b,2=4,a+bif a-b=4…

Q: What is the angle between the vectors and О т/4 Ο π/3 Ο π/6 O T/2 О Зл/4 27/3

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Q: For vectors and shown, drawu - 2 13 19 V

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Q: For vectors u, v, and w, which of the following expressions is incorrect (or does not make sense)?…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. For the vectors d = (2,11, -3) and 7 = (-7,0, –1), find proj, d.

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Q: For the given vectors: å = (0,3), b = (4, –2), ở = (3,2), find: (a) 3å – 6+ 2č (b) angle between the…

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Q: The angle between the vectors a=(2,6) and b=(3,-1) is Select one: O a. O b. 3 3. O d.

A: Angle between two vector  Vector a = 2i+6j Vector b= 3i-j

Q: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

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Q: Given the vectors a = (−2, −5, −3) and b = (1, −4, 2), find 1.  5a − 1/3 b. 2. The length of a.

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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: - Find the lengths of triangle ABC using vectors, knowing that: A (3,1), B (6,4), C (-1,3)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors .

A: A=4, 3, 0B=2, 3, 4C=5, 6, 2 REMEMBER A·B=ABCosθ⇒θ=Cos-1A·BAB

Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors.

A: Dot product defined as  AB =|A| |B| cos x x is angle between A and B

Q: Given vectors đ = (2, – 2,–2) and b = (4,0,– 1), find 3đả +2b Select one: (6, -2, -3) (16, -4, -7)…

A: According to question given that a→=(2,-2,-2)b→=4,0,-1We have to calculate 3a→+2b→

Q: 7) Given the vectors å ,b and č in 3d. Identify which of the following operation is possible or not…

A: Dot Product of vectors is equal to the product of the magnitudes of the two vectors, and the cosine…

Q: If u = 2i -j- 3k, w = 3i – 9j+ 5k and v = perpendicular. 15i – 3j – 5k, then the vectors are Select…

A: which option?

Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

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Q: If A C =-8.4, A = 3i-4j, and C =6.5, the angle between the two vectors when they are drawn starting…

A: Let θ be the angle between the two vectors

Q: For what values of a and B will the vector (a, 1, B) be orthogonal to (4, 0, 3) and (-1, 1, 2)? a =…

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Q: a = (4, 3), b = (4, -3), c = (-3, 4) and d = (-3, -4) Which of the following pairs of vectors is…

A: Topic:- vector algebra

Q: Which of these vectors is perpendicular to (1, 2, 3) ?MARK ALL THAT APPLY PLEASE. A) (–1, –1, 1) B)…

A: Given vector is

Q: For what values of a, b, and care the vectors (2a-b,a-2b,6) and (-2,2,a+b-2c) equal?

A: The given vectors are 2a-b,a-2b,6 and -2,2,a+b-2c . Note that, two vectors are equal if their…

Q: [Maximum mark: 7] The following diagram shows the parallelogram ABCD. B C 9 A D Let AB=p and AC=q.…

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Q: Find the angle between the vectors (2v3, 1), b = (-7, v3). а — 1. angle 6 2. angle 3 ||

A: Solve for angle

Q: Pls help ASAP. Pls show all work and steps.

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Q: The angle between vectors v1 = (2, 1, 1) and v2 = (2, -1, -3) equals: Select one: a. 90 degrees b.…

A: Given v1=(2,2,1)v2=(2,-1,-2)Now, v1.v2=2*2+2*(-1)+1*(-2)v1.v2=4-2-2v1.v2=0

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.