(11) Three vectors given: a = (1) a+b+c, (2) a.b m 21-3k, b=4i, č-5k (3) the angle between a and Find: , (4) b.č

Q: Find the angle between the following pair of vectors. a = (-8, -7,2) and b =(4,-5,-4) a.b cos(8) =…

A: The given problem is to find the dot product of the given vectors and angle between the given…

Q: For the given vectors: å = (-2,-3), 5 = (1,–2), 7 = (0,3), find: (a) 2å – 35 + ở (b) angle between…

A: Given the vectors a,b and c. The solution to the given questions are as follows.

Q: If la| = v2, la + b| = v6 and la – b| = v2, find the angle between the two vectors å and b.

A:

Q: Let u = -3) and v=(5, -2) and w= = (-6, -4). Fin (2, -3)

A: Givenu=2,-3,v=(5,-2),w=(-6,-4) The objective is to find the angle between the vectors 6) angle…

Q: "Given vectors A = and B = , find A dot B. " QUICKLY

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Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

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Q: Take the two vectors: A = 3i + 4j C = 3i - 4k Let A and C be represented by arrows extending from…

A: b. A-C=(3i+4j)-(3i-4k)A-C=3i+4j-3i+4k=4j+4k

Q: What is the angle of vectors A=5m West and B=15m 60° North of West?

A: The vector A can be written as: a=-5i The vector B is 60 degree north of west that means it makes an…

Q: 2. Which polygon is the translation of polygon 1 by: (a) vector AB? (b) vector BC? EN B 3 4 nob C…

A: Given:

Q: Find the angle between vectors: a = 51-4j+2k and, b= 41+3)+2√5k

A:

Q: If au + bû = 0, where a and b are positive. If a = -b, what must be true of vectors ū and v? Explain…

A: The relation between a and b is a=-b. Also, the relation between vectors u⇀ and v⇀ is au⇀+bv⇀=0⇀.

Q: α = Find the angle a between the vectors 5 4 2 and -3

A: We have to find the angle α between the vectors 541 and 2-3-5

Q: T F 103. T F 104. T F 105. (Vx≤R)[(x>0) → (3y € R)(xy = 1)] can be translated as Every positive real…

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Q: 4. Find the angle between each pair of vectors. Round to two decimal places as necessary. a) (V3,…

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Q: If the magnitude and direction of vector ? are 2√5and 153.3°, what are the components of vector ??

A: Simplification of vector

Q: 4 If a = 5i +4j + 2k, b = 4i – 5j + 3k and c= 2i – j- 2k, where i, j, k are the unit vectors,…

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Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: 4. For the vectors (2, 1) and = (1, 2) Find the dot product u · v, and the angle 0 between the two…

A: According to the given information, it is required to calculate the dot product and angle between…

Q: 3. Calculate the angle (degrees), between vectors p = 2i +9j – 4k and q = -3i + 5j + 6k correct to…

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Q: Given the vectors, a = (4,-5) and b = -10i -8j: %3D a. Find a - 2b.

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Q: 1. Given vectors =, (a) Find the dot product of the given vectors. (b) Find 7, 71 (c) Find the…

A: As per our guidelines we are supposed to answer only 3 subparts of a question, please repost the…

Q: Question 1: Find the angle between the vectors a) (2,–3) and (2, 5) b) (-4, 2) and (5, 2)

A: Solution is given below :

Q: 1) Given two vectors as A = 2â, + 2â, -â, at point (3,60°,180°) and B =-2â, + 4â, - 4â, at point…

A: Consider the given vectors:

Q: If a, b and c are three non-coplanar vectors, then find the value of a.(bxc) b.(cxa) c.(bxa) +…

A: Use the properties of vector box product as follows: a→.(b→×c→)=[a→ b→ c→]=[b→ c→ a→]=[c→ a→…

Q: u = 57 - 5] + k and 7 = 27 + 14k.

A:

Q: For what value(s) of a is the angle between the vectors ⟨4, 1+ 2a, 4⟩ and ⟨1, 4, 4 − a⟩ obtuse?

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Q: For the given vectors: å = (-3, –3), B = (1,–2), ở = (1,3), find: (a) 2å – 35 +ở (b) angle between…

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Q: Find the angle between the given vectors to the nearest tenth of a degree. You must show work on a…

A: Here we have to find the angle between two vectors.

Q: 3. Given vectors : T = 37 + 2} – , T = 7 - 7 + 2k, w = 7 – R. Find the following: (a) 27 – 37 + w…

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