A person walks 10 km east and then 5 km north. (a) Construct a diagram of this problem. Be sure to put arrow heads on your vectors.   [2 marks]  (b) Calculate both the magnitude and direction of his resultant displacement.   [2 marks]   (c) Verify your results by measuring the magnitude and direction on your diagram.   [2 marks]

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: The magnitude of the resultant of two vectors is equal to the difference of the magnitudes. Which of…

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Q: Determine the vector that must be added to the sum A +B in Figure 1 to give a resultant displacement…

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Q: The two vectors d and b inthe figure have equal magnitudes of 12.5 m and the angles are e1 = 26° and…

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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: Convert these vectors to scale: Vector A= 20 km, 30° N of E Vector B 15 km, 20° W of S Vector C= 25…

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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: Attached is a screenshot of my question regarding vectors. I do know the formula for finding the…

A: Write the vector notation for the sum of two vectors A and B,

Q: vector A are: Ax = 5.1 m and Ay= -5 m and the components of B are: Bx= -2.6 m and Ay = -4.3 m. What…

A: This question is based on resultant of vectors.

Q: Estimate the magnitude and direction of the resultant given the following vectors. A = 10 steps,…

A: We have two vector A = 10 steps, due East B = 16 steps, 60° South of East

Q: The components of vectors   and   are given as follows: Ax = -2.5   Bx = -5.0 Ay = 7.1   By = 4.0…

A: Consider A→ and B→ two vectors, the general form of writing these vectors are:   A→=Ax i+Ay jB→=Bx…

Q: 6. Add the following two vectors and write the results in unit vector notation, and also as a…

A: Given vectors C→ = (-3.75 m)i^ + (-9.48 m)j^D→ = (1.92 m)i^ + (6.32 m)j^Let the resultant vector of…

Q: You are adding two vectors, one has a magnitude of 25 and the other has a magnitude of 10. Which of…

A: Given: Magnitude of a→=25. Magnitude of b→=25.   To find: The resultant vector.

Q: A 5.1, = A = -5 y X B = -2.6, B = 4.3 X y

A: Given  Ax=5.1 , Ay=-5 Bx=-2.6 , By=-4.3 Required magnitude of A+B

Q: Question 9 Assume these three vectors are acting on an object. 1. magnitude = 50, 0 = 300° 2.…

A: Draw the schematic diagram of the vectors.

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: Three vectors, V, V2, and V3 have the components shown in the table. What is the magnitude of the…

A: X component of resultant = X component of V1 + X component of V2 + X component of V3 X component of…

Q: 2. A vector d has a magnitude 2.5 m and points north. What are the magnitudes and directions of the…

A: Hi, as this problem contains multiple sub-parts, hence the first three sub-parts will be solved for…

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

A: Angle between A and B is 135 degrees. The magnitude of (A - B) can be given by the standard formula.

Q: Two vectors, of magnitudes 20 mm and 50 mm, are added together. Which one of the following is a…

A: The magnitude of one of the vector = 20 mm The magnitude of other vector = 50 mm

Q: 1. Using the following vectors, find the magnitude and direction of the resultant vector. A =…

A: Given value--- three vector. We have to find--- magnitude and direction of the resultant vector?

Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: Consider a vector (A) in the XY-plane as shown below:     It makes an angle (θ) with the x-axis and…

Q: Given two vectors = 3.00 + 5.00 and = -7.00-3.00. (a) Give the x- and y-components of each vector…

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Q: Vector a has a magnitude of 12 units and makes a 60° angle with the +x axis. What is the y component…

A: The y component of vector α is    αy=αsinθ Here α=12 units and θ=60o

Q: Let A→ = (3.0 m, 20 degrees south of east), B→ = (2.0 m, north), C→= (5.0 mm, 70 degrees south of…

A: Given, A→=3.0m, 20° south of eastB→=2.0m, northC→=5.0m, 70° south of westTo find x &y components…

Q: The components of vectors A and B* are given as follows: Ax = 5.1 Bx = -2.6 Ay = -5 By = -4.3 What…

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Q: 1/3 SS For the given vectors V₁ and V₂ of Prob. 1/2, de- termine the magnitude of the vector…

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Q: What are the components of the following Vector?  D = 30.0 km @ 70.0 degrees below +x-axis

A: Given: The vector has magnitude D = 30 km. Angle with +x axis = 70 degree clockwise direction.

Q: Consider the three displacement vectors A = (4î – 35) m, B = (2î – 5j) m, and C = (-3î + 5j) m. Use…

A: Given : A→=4 i^-3j^   m B→=2 i^-5 j^   m C→=-3 i^+5 j^   m   D→=A→+B→+C→ What we have to find :…

Q: The components of vectors A" and B* are given as follows: Ax = 5.1 B, = -2.6 Ay = -5 By = -4.3 What…

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Q: The figure shows two vectors, A and B, whose magnitudes are A = 7.0 and B = 5.2. (Figure 1) Figure А…

A: Write the provided vectors. Add the vectors.

Q: Determine the magnitude of the vector V and the angle e which vector V makes with positive x-axis?…

A: Calculate the angle of V1. θ1=tan-134=36.87 Write the expression for the unit vector notation of…

Q: Component Vector: Determining the Resultant and Direction of Multiple Vectors A = 50 km300 N of E B…

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Q: Axis vectors are vectors that have only one nonzero component. Answer the following questions…

A: WE KNOW THAT                       In cartesian coordinate system, the magnitude of a vector having…

Q: Vector A has components Ax = -16.1 and A, = -4.32. What is the magnitude A of this vector? Determine…

A: The x-component of A→, Ax=-16.1 The y-component of A→, Ay=-4.32

Q: Vector A  =  -2.00 i   +  3.00 j  .  Determine the magnitude and direction of vector A .

A: Magnitude A=2.002+3.002=3.6055 unit

Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: Given data: The first displacement vector of grass hopper towards west is A=27.0 cm. The second…

Q: Each of the following vectors is given in terms of its x- and y-components. Draw the vector, label…

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Q: The components of vectors A* and B* are given as follows: Ax = 5.1 Bx = -2.6 Ay = -5 By = -4.3 What…

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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.…

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Q: What is the magnitude of a vector that makes an angle of 42° to the horizontal and whose y…

A: Given  Angle made by vector from horizontal  @ = 42°  Y component of vector Ay = 5 units  To find…

Q: ulate the y-component of the acceleration vector a1, which has a magnitude of 26 m/s2 and has an…

A: The rate of change of velocity is called acceleration.  It is a vector quantity.

Q: You are adding vectors of length 20 and 40 units. Which ofthe following choices is a possible…

A: The two vectors have length 20 and 40 units. On adding both the vectors, the resultant magnitude…

Q: D (10.0 m) 30° 53°/ 25° C(12.0 m) A (8.00 m) B (15.0 m)

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Q: Two vectors, of magnitudes 20 mm and 50 mm, are added together. Which one of the following is a…

A: The range of vector is given by  R =( A-B ) to( A + B) Here, R = Range of vector, A = magnitude of…

Q: 2.1. Consider the displacement vector Ā=(3î +3j )m, B= (i –4j)m, and č=(-2i +5j)m. Use the component…

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Q: What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude…

A: A→=(2.00m)i^+(3.00m)j^ B→= 4.00 m, at 65.0° = 4 ×[ cos65oi^ + sin65oj^]= 1.69i^ + 3.62j^ m…