A hiker starts at his camp and moves the following distances while exploring his surroundings: 66.0 m north, 2.60 ✕ 102 m east, 1.30 ✕ 102 m at an angle 30.0° north of east, and 1.50 ✕ 102 m south. (a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) magnitude     m direction     ° south of east (b) Would changes in the order in which the hiker makes the given displacements alter his final position? Yes No     Explain

Q: What are the (a) x and (b) y components of the vector that must be added to the following three…

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Q: The magnitudes of two vectors A → a n d B → are 12 units and 8 units, respectively. What are the…

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Q: 1. Vicky walks 8 km East, then 5 km South and finally 6 km West. Find her resultant displacement. 2.…

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Q: A vector has an x component of -26.0 units and a y component of 40.2 units. Find the magnitude and…

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Q: Question 14 A displacement vector is 23 km in length and directed 65° south of east. What are the…

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Q: Vector A has a magnitude of 2.00 m and vector B has a magnitude of 5.00 m. If the direction of each…

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Q: The components of a vector B>satisfy Bx 7 0 and By 6 0.Is the direction angle of B>between 0°…

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Q: A vector A is added to B=61-8j. The resultant vector is in positive x direction and has a magnitude…

A: Given: The vector B is B=6i-8j. The magnitude of vector A and resultant is same that is A.…

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

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Q: Vector V⃗ 1V→1 is 6.4 units long and points along the negative x axis. Vector V⃗ 2V→2 is 9.0 units…

A: Given: The vector V1 is 6.4 units long along -the x-axis. The vector V2is 9 units long at 60o with a…

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: Vector 1 is 7 units long and is at 70°. Vector 2 is 5 units long and is at 155°. Vector 3 is 3 units…

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Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.0°…

A: We will first break the vectors into the component in the perpendicular axes. We split them in the X…

Q: 2. A runaway dog walks 0.64 m due north. He then runs due west to a hot dog stand. If the magnitude…

A: Given that Displacement towards north OA = 0.64 m Net displacement OB = 0.91 m

Q: Find the resultant vector using: Vector A= 20 km, 30° N of E Vector B= 15 km. 20° W of S Vector C=…

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Q: Let 0 be the angle that a vector to make with the x - axis and measured counter clockwise from that…

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Q: The magnitudes of two vectors A → and B → are 12 units and 8 units, respectively. What are the…

A: Magnitude of vector A = 12 units Magnitude of vector B = 8 units The resultant of the two vectors is…

Q: under what circumstances would a vector have components that are equal in magnitude?

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Q: The components of vector A'are given as follows: Ax = 10.5 Ay = 15.2. What is the magnitude of the…

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Q: The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is along…

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Q: The figure shows three displacement vectors A, B, and C. These vectors are arranged in tail-to-head…

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Q: A hiker starts at his camp and moves the following distances while exploring his surroundings: 66.0…

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Q: IVGSX Vector A is 5 units in length and directed 48.0° north of east, and vector B is 2 units in…

A: magnitude of vectorA, A→=5B, B→=2

Q: A vector  A  has components  Ax = −4.00 m  and  Ay = 3.50 m.  Find the magnitude (in m) and the…

A: Given:X-component of the vector, Ax = −4.00 mY-component of the vector, Ay = 3.50 m

Q: Vector a→a→  has a magnitude of 25 units and makes +20° with the +x-axis. Vector b→b→  has a…

A: We resolve the given vector in component form, a→=25 unitsθ=20oax→=a→cosθ=25cos20o=23.49…

Q: Vectors A and B have magnitudes of 3 units and 4 units, respectively. What is the angle between the…

A: 1. Given : |A| = 3 units |B| = 4 units  A.B = 12

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: An object undergoes the following displacements: 3.2 m, south; 5.0 m, 30° north of east; 4.5 m,…

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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: A vector A has a magnitude of 15 (in some unspecified units) and makes an angle of 25° with the x…

A: Given, the magnitude of vector A = 15, the angle made with the x-axis, 25° the magnitude of vector B…

Q: Which of the following could not be the magnitude of the vector sum of a 25-meter displacement…

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Q: If a vector v has a magnitude 10.0 and makes an angle of 30° with the positive y-axis, find the…

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Q: 42.0 31.0

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Q: A postal employee drives a delivery truck along the following route. He drives 7km due east, 2km due…

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Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

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Q: Vector A has a magnitude of 142 units and points 32.0° north of west. Vector B points 67.0° east of…

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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: A runaway dog walks 0.64 km due north. He then runs due west to a hot dog stand. If the magnitude of…

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Q: Vector C has a magnitude of 22.2 m and points in the –y- direction. Vectors A and B both have…

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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: A truck starts out at position x = 3.2 mi and y = 6.2 mi and winds up at position x = 5.6 mi, y =…

A: Given that, The initial position of the vehicle  =    r1→=3.2i^+6.2j^ The final position of the…

Q: How far due north and how far due east would she have to walk to arrive at the same location?

A: Given data: The distance travel by the person in north-east direction is: d=2.90 km The angle made…

Q: A displacement vector is 23 km in length and directed 65° south of east. What are the components of…

A: clearly, x component is positive and y component is negative

Q: 1. Vicky walks 8 km East, then 5 km South and finally 6 km West. Find her resultant displacement. 2.…

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Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 50.0? (a)…

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Q: Determine the magnitude and direction of the resultant force. Express the resultant force using…

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Q: A vector has components Ax = −5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction…

A: Ax = −5.00 m Ay = 9.00 m

Q: Vector C has a magnitude of 23.4 m and points in the -y- direction. Vectors A and B both have…

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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.