Alice, Bob and Chuck are three friends standing around talking. We know that Alice is standing 9 m away from Bob, and that Bob is standing 3 m away from Chuck. Let Δ?⃗?? ΔR→AB be the vector that starts at Alice and ends at Bob, and Δ?⃗?? ΔR→BC be the vector that starts at Bob and ends at Chuck. (a)  Write an equation to find the displacement between Alice and Chuck. (b)  What is the furthest Chuck can be from Alice, given the information in the question? What is the closest they can be? (c)  Draw a picture where Chuck is neither as close as he can be or as far as he can be from Alice. Draw and label the vectors Δ?⃗?? ΔR→AB  and Δ?⃗?? ΔR→BC.

Q: To get from one office to another in a company, a man travels as follows:  Which of the following…

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Q: ~ symbol means there is a vector arrow on top. You have two vectors:~A= (2,-1,3) and~B=…

A: Since we are authorized to only answer up to three sub-parts, we’ll answer the first three. Please…

Q: Three vectors á, b, and c, each have a magnitude of 53.0 m and lie in an xy plane. Their directions…

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Q: if three vectors with magnitude 30, 40, 50 are added together, which of the following cannot…

A: Given : Three vectors with magnitude 30, 40, 50

Q: Given the vector A - 100.0ON at 30.00° above the negative x-axis, In terms of rectangular form. the…

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Q: Vectors A and B are shown in the diagram below. Vector C is given by C = B - A. What is the…

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Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00j. Find the magnitude of each vector. (2 pts.)…

A: (1)  The first vector is given by- A=4.00 i+7.00j Here a1=4.00 and a2=7.00 Hence magnitude of A…

Q: O O O O O Consider two vectors A and B of magnitude 2 and 3 respectively. The sum of these two…

A: For, the resultant vector we need two vectors and the angle between them.

Q: Suppose you have three vectors: A⃗=−3i^+6j^ B⃗=2i^−4j^ C⃗=4i^+3j^ What is the magnitude of vector…

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Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: A→ = 8 ×(cos45oi^ + Sin45oj^) A→ = 5.65i^ + 5.65j^B→ = -8i^

Q: Vector Å has a magnitude 5.00 and points in a direction 40.0° clockwise from the negative y axis.…

A: Given information: Here A is the magnitude of the vector A and θ is the angle made by the vector A…

Q: Given the vector A = 100.00N at 30.00° above the negative x-axis. In terms of rectangular form, the…

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Q: The x- and y-directions of the rectangular coordinate system are to be translated into the…

A: The vector H can be written in the form of vector F and vector G as H =Mf F + MgG So, by putting the…

Q: We have two vectors A=(57.8, 12.5 degrees) and B=(19.0, 140.3 degrees). What is the x-component of…

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Q: Consider the three displacement vectors A = (3i – 3j) m, ,B = (i - 4j) m, and C = ( - 2i + 5j)m. Use…

A: Given Information: The vectors with their components: A = (3i -3j) m B = (i-4j) m C = (-2i+5j) m

Q: D. -y

A: Using the graph of given vectors:   B→=(-4-(-12))i^+8j^B→=8i^+8j^…

Q: To get from one office to another in a company, a man travels as follows: A = 15m due West B = 25 m,…

A: Given: A→ = 15 m due west  B→=25 m, 53° East of North  C→= 20 m due East.

Q: Three displacement vectors of a cro- quet ball are shown in Figure P3.22, where A| = 40.0 units, and…

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Q: Determine the direction with respect to the positive x axis of the vector resulting from the sum of…

A: Given;- the three vectors are. A = 3.00i + 4.00j B = 2.00i - 6.00j   C = -8.00i + 8.00j Find. The…

Q: Q6. Three displacement vectors (A, B, and Ĉ) are shown in Figure, where the magnitude of the vectors…

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Q: Vector A has x and y components of -8.7cm and 15cm, respectively (A=-8.7cm, Ay=15cm); vector B has x…

A: It is given that A→=-8.7 cmi^+15 cmj^ B→=13.2 cmi^+-6.6 cmj^ It is also given that, A→-B→+3C→=0→…

Q: [21] Two vectors are given by i= 4i+3j and = -it3j. Find (a) i.B and (b) the angle between i and B.…

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Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: Given : A→ = 42 i^ + 42 j^            B→ = - 8 i^

Q: magnitude of the sum of two vectors |A+B|  the same as the sum of the magnitudes |A|+|B

A: Resultant of two vector R =(A2 +B2 + 2 AB cos θ)1/2

Q: Two vectors, A  and B  have their tails at the origin and are described by parameters (r,θ), where r…

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Q: Vector A has a magnitude of 3.2 m/s and vector B has a magnitude of 5.3 m/s. If you can change the…

A: Given data: Magnitude of vector (A) = 3.2 m/s Magnitude of vector (B) = 5.3 m/s Need to determine…

Q: Vector A has a magnitude of 16.5 units and it points in a direction 300° counterclockwise from the…

A: The magnitude of vector A, A=16.5 units   The vector’s position in a counterclockwise direction from…

Q: In a game of lawn chess, where pieces are moved between the centers of squares that are each 1.00 m…

A: The position of the knight after it moves two squares forward and one square rightward is The…

Q: vector A⃗A→ has components AxAx = -6.00 and AyAy = -8.00, then the magnitude of A⃗A→ is 14.014.0…

A: x component of vactor A = Ax = -6 unitsy component of vector A = Ay= -8 units

Q: Given vectors A, B and C with components of A,=10 m, Ay=33 m, B,=28 m, B,=25 m, C=-14 m and C,=-13…

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Q: The vector difference between Vectors A and B is 223.606 N, 26.57° N of W or 223 606 N, 63.43° NW.…

A: north of west

Q: The components of vector 4 are Ax = +2.2 and Ay = -6.9, and the components of vector B are given are…

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Q: A 4 B The sum of vectors A and B is

A: Given data:  The vector A and B Required: Sum of the vector A and B

Q: F3 65° 35° F, The magnitude of the vector is F2=1.5N .What is the rectangular component of vector F2…

A:

Q: Three vectors A, B, and C. A = 5.0 m, towards 60 degrees below +x B = 6.0 m, towards +y C= 1.0 m,…

A: Given value--- Three vectors A, B, and C. A = 5.0m , towards 60 degrees below +x B = 6.0m towards…

Q: a. What is the x-component of  B→B→ ?

A: ANS: a) The value of x component of B is 7.08.

Q: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

A: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

Q: de. 17. Let there be two vectors a and b such that a +b is in same direction as a-b. Select the…

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Q: Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and direction…

A: Write the vector A.   A=2i+6j   Write the vector B.   B=3i-2j

Q: Vector A→, which is directed along an x axis, is to be added to vector B→, which has a magnitude of…

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Q: What is the meaning of the vector expression A + (-A) = 0? O The vectors A and -A are really one and…

A: Explanation  Negative vector -                                 A vector that has same magnitude but…

Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

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Q: Given the following vectors: A = 80.0 N 25.00 south of east, B = 100. N 82.00 north of east…

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Q: A. A, Vector Quantity 100 100 100 60 30 15 A, 100 Vector Quantity 173.2 1. At what angle will the x…

A: The components of a vector in the X- and Y- axis are given by Ax = A cosθAy = A sinθ, where A is the…

Q: ssume you have the following two vectors:A:15i+16j+13k B=4.4i+6.5j-1.6k What is the x-component of…

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Q: A (3.60 m) 70.0° 30.0° (2.4 m) (1) Write the vector A and B in terms of unit vectors i and 3. (2)…

A: 1) For vector A→ : A→=3.60Sin70°i^+3.60Cos70°j^   = 3.383 i^+1.231 j^ For vector B→ :…

Q: If a resultant vector has an x- component of -43cm and a y- component of 34cm, what is the direction…

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Q: Given the vector A = 100.00N at 30.00° above the negative x-axis. In terms of rectangular form, the…

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Q: When an object X is moving relative to Y, which statement is true? A. The tail of vector-X relative…

A: Motion of an object is a relative terms. A standing man can observe trees at rest but it appears…

Scalars and Vectors

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