A hiker starts at his camp and moves the following distances while exploring his surroundings: 66.0 m north, 2.00 ✕ 102 m east, 1.15 ✕ 102 m at an angle 30.0° north of east, and 1.50 ✕ 102 m south. Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) (a) magnitude = _____m (b) direction = _____° south of east

Q: A disoriented physics professor drives 5.18 km east, then 6.20 km north, then 2.05 km west. Find the…

A: If we take East direction as +x axis and the North direction as +y axis then, first displacement…

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: An airplane travels at 4.5 x 10^2 km due east and then travels an unknown distance due north.…

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Q: Use the component method of vector addition to add the resultant of the following vectors. A: 11 km…

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Q: A man walked 11 km towards the north, turned east and walked 6 km, then he turned south and walked 3…

A: Given data: -  The distance traveled in the north direction is N = 11 km. The distance traveled in…

Q: Displacement vector i points due east and has a magnitude of 3.45 km. Displacement vector 3 points…

A: Answer is uploaded in 2nd step.

Q: Consider two displacements, one of magnitude 12 m and another of magnitude 16 m. What angle between…

A: The expression for the angle,

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 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: A woman walks 139 m in the direction 59° east of north, then 177 m directly east. Find (a) the…

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Q: The vector A⃗ has a magnitude of 6.0 m and makes an angle of 60 degrees above the positive x-axis.…

A: Given,

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: Calculate the x-component and the y-component (in m) of the vector with magnitude 16.0 m and…

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Q: The vector sum of two displacements 18 m and 13 m is 5 m. The angle between the two displacements is…

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

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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: 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 postal employee drives a delivery truck over the route shown in Fig. E1.25. Use the method of…

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Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…

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Q: A geologist is surveying a cave. She follows a path 170m straight west, then 250 m in the direction…

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Q: When vector is added to vector B, which has a magnitude of 5.0, the vector representing their sum is…

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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: 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: An airplane flies with a displacement vector ř. If the x-component of the plane is 132 km West and…

A: Draw the free-body diagram of the system. Calculate the resultant vector.

Q: If the angle between the vector A and the positive x-axis is 40°. What is the x component of the…

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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: Three displacement vectors of a croquet ball are shown in the figure, where |A| = 12.0 units, |B| =…

A: Given Data : The magnitude of the vector A→=12 units The magnitude of the vector B→=35 units The…

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: Displacement vector  A→A→ is directed to the west and has magnitude 2.76 km. A second displacement…

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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: The x-component and the y-component of the vector with a magnitude of 25.0 m and a direction of…

A: The x component of any vector a is,  ax=acosθ The y component of vector a is,  ay=asinθ Here, a is…

Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances: 76.9 m…

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Q: Use the graphical technique for adding vectors to find the total displacement of a person who walks…

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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: What is the magnitude, X (in m2), of the cross product of a vector of magnitude 7.2 m vector…

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

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Q: The baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from…

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

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Q: For the vectors and shown, find the magnitude and direction of (a) the vector sum + (b) the vector…

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Q: The x- and y- components of a displacement vector are -7.00 m and 8.00cm, respectively. What angle…

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Q: Vector A is 2.00 units in length and points along the positive x axis. Vector B is 7.00 units in…

A: Given The vector B in the negative y axis is By=-7 unit. The vector A in the negative x axis is…

Scalars and Vectors

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