Vectors A and B lie in the xy-plane. Vector A has a magnitude of 18.1 and is at an angle of 160.5° counterclockwise from the +x-axis. Vector B has a magnitude of 26.9 and is 195.3° from the +x-axis. Resolve A and B into components, and express using ijk unit vectors, Ã = A¸i + Aÿj + A₂k B = B¸i + B₂j + B₂k where Ax, Ay, A₂ and Bx, By, and B₂ are the calculated values of the x-, y-, and z-components of vectors A and B, respectively. A = B =

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

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Q: A. Give the vectors M = -10åx + 4ãy-8å, and vectors N = 8å, + 7ãy-2ãz, find the following: %3D 1. a…

A: Solution: A.3 Given vectors are: M=-10ax^+4a^y-8a^zN=8a^x+7a^y-2a^z,|M|=102+42+-82     =180…

Q: c. c. Find the unit vector u^in the vector F direction, if the position vector a "=3i +4j +2k. If…

A: Given:-  A position vector is a→= 3i^+4j^+2k^ The force at this position is F = 2000 N  Find:-  Find…

Q: Vector ?⃗ has a magnitude of 15.1 and is at an angle of 60.5∘ counterclockwise from the +?‑axis.…

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Q: Say we have à = 21+ 3) and à - B = 0. a) If B=51+ B). What is the value of By? b) If |B| = 1. How…

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Q: A direction cosine is: O The cosine of the angle between a vector and a particular coordinate axis.…

A: In geometry the direction of the cosine is known as direction of cosine of a vector as the cosines…

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Q: Where 31.2 m is the length of the vector and 76.9° is the angle it makes with the y-axis, what is…

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Q: What are the x and y components of the vector shown below? |A| = 25.5 km 60° Select one: a. x=…

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Q: Let A = (25 m)i + (45 m)/ and B = (-25 m)ỉ + (45 m)j . The angle between these two vectors is: A)…

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Q: A boat travels 100 m/s on a straight path at an angle of 20° North of East. It then changes its path…

A: Solution -

Q: There are two Vectors. A=10m East and B = 15 m west. How do I find the resultant of A+B=R1 and A-B=…

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Q: gle between the two vectors A = 21 + and Given the vector A = 100m at 36.9 ° above the negative…

A: Given A= 100m θ= 36.9°

Q: Find the vector sum of the following three vectors A=1.00mat0º, B=2.00m at 150ºand C=1.50mat20º.All…

A: The given data are: A=1 mθ1=0°B=2 mθ2=150°C=1.5 mθ3=20°

Q: Vector A is 9 m, 60.0o North of East and Vector B is 3 m 30.0o West of North. What is the resultant…

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Q: Question: Three displacement vectors of a croquet ball are shown in Figure where |A|-20 units, B =…

A: Magnitude of displacement vectors are, A→=20 unitsB→=40 unitsC→=20 units

Q: A = 4î + 79 B = 51 – 23 + k C = -î+ 3j+ 2k a) Find the magnitude of yector B. b) Write an expression…

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Q: Vectors à and B are shown in the figure. Vector Č is given by C = à – B. The magnitude of vector A…

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Q: If the Cartesian coordinates of a point are given by (-1, y) and its polar coordinates (r, 120°).…

A: given that    Cartesian coordinate =( -1 , y )  put  X = -1    Y = y polar coordinate =( r, 120°)…

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: w. W = 37, & V = 33. Let R = W + V. Determine the c Vector W Vector V Vector R 70* 80* relative to…

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Q: Consider the vector sum č = Ả – B{2 Vectors à and Č are shown below. Choose the arrow that…

A: Vectors A and C are shown in the figure. The relation between the vectors is : C→ = A→ - B→2

Q: Two vectors A= 17 - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and…

A: Given:- vector,  A=i∧ -2j∧                              B=2i∧+3j∧Mutliply  by -3  in vector  A then…

Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.00…

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Q: Margaret walks to the store using the following path: 0.710 mi west, 0.350 mi north, 0.270 mi east.…

A: Given data:  Firstly walk 0.710 mi, due West Then 0.350 mi, due North Then 0.270 min, due East…

Q: B. Solve for the Resultant vector ( magnitude and direction). Please draw the vectors. 1. 20 N, east…

A: Given :    1) 20 N east and 50 N west    2) 100 N north, 100 N south and 80 N west    3) 50 N at 30°…

Q: Two vectors A = 1î - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and…

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Q: The magnitude of vector A can be written as, A UA = A. A. = Ax. Ai +. Ay. Aj +. Az. A k. B) A = Ax^I…

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Q: › Vectors À and B lie in the xy-plane. Vector À has a magnitude of 11.6 and is at an angle of 155.5°…

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Q: The figure shows a 2D coordinate system S (red) and another coordinate system S' (blue). S' is…

A: (a)i^' is unit vector along x' and j^' is unit vector along y'so resolving them along old x,y axis…

Q: a В Given IAl = 13.3 and IB| = 53.9, find the scalar Å · B when a = 98.3 º. Round your answer to 1…

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Q: 6. Solve for the required using the given vectors B = 4 j + 9k - 5i c. (A X B) x C A = 31 – 8j + 6k…

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Q: A sailboat race course consists of four legs, defined by the displacement vectors ...and B.as the…

A: According to the question three vectors are given A=3km B=5.4km and C=5.2km we need to find fourth…

Q: True or False: a. A unit vector always has a magnitude of 1. b. A unit vector is unitless.

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Q: 9 The vector À has "x and "y" components of B has rex" and c" and - 6.60 cm, respectiuely. If - 8.70…

A: Given  A--> = -8.70 i^ + 15.0 j^ cm  B--> = 13.2 i^ -6.60 j^ cm  C--> =??  A--> -…

Q: Vector A had a magnitude A=4.8 and direction theta = 163.4 degrees measured counterclockwise from…

A: x- component =?

Q: Have you considered all possibilities? (c) a + b = and a² + b² = ². O a=0. ☐ a and b are in the same…

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Q: Consider vector A, with a magnitude of 3, and a vector B, with a magnitude of 2. Are the following…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A OB В

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.