A protester carries his sign of protest, starting from the origin of an xyz coordinate system, with the xy plane horizontal. He moves 40 m in the negative direction of the x axis, then 20 m along a perpendicular path to his left, and then 25 m up a water tower. (a) In unit-vector notation, what is the displacement of the sign from start to end? (b) The sign then falls to the foot of the tower.What is the magnitude of the displacement of the sign from start to this new end?

Q: Multiple Concept Example 9 deals with the concepts that are important in this problem. A grasshopper…

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Q: Vector F goes 10.0 meters in a direction of 150 from the x-axis. What are the x-component and…

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Q: Let v = -5i+5j be a vector. Find a unit vector that points in the same direction as v and give…

A: The objective of the question is to find a unit vector that points in the same direction as the…

Q: How many years older will you be 1 gigaseconds from now? (Assume a 365-day year.)

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Q: Vector A = -1i -2j and vector B = 3i+4j what are the magnitude and direction of vector C =A+B.

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Q: A vector, → A , has the components, Ax= -1.2 m, Ay= 2.1 m and Az= 0 m. Another vector, → B has…

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Q: An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m…

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Q: I have no idea to how to start to this question: Wags (a dog) decides to go on a journey. He begins…

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Q: (a) In unit-vector notation, what is the sum of a = the magnitude and (c) the direction of a + b…

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Q: A surveying team records the following displacement vectors on three days (24 hour days) of walking,…

A: Given: Displacement vectors corresponding to three days are given d1 = (7i + 8j) km d2 = (6i + 2j)…

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

A: Given value--- C = 23.4 m. alpha = 42.9 degree.  beta = 28.7 degree. We have to find--- magnitude…

Q: What is the x-component of a vector with a magnitude of 135 m, 42° South of east? O 54.89 m, North…

A: x component of a vector  Ax   = A Cosθ  where  θ is angle from x axis counterclockwise.

Q: Vector 'A' has a magnitude of 37.0 units and it points in a direction 320° counterclockwise from the…

A: According to given question, Components of vector (A)   (  Ax, Ay) = (A cosθ ,A sinθ) Also given by…

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: At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis,…

A: Solution:-

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

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Q: You enter an antique classic car road rally with your 1956 Studebaker Golden Hawk. The rally course…

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Q: The magnitude of vector A is 22.5 units and points in the direction 335° counterclockwise from the…

A: Given that the magnitude of the given A vector is 22.5units, and the vector is pointed…

Q: wo vectors are given by đ = 1.3i + 1.8) and 3 = 7.9î + 1.6). Find (a) à x B (b) ở - B.(c)( a + B).…

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Q: (3.3 m )î + (3.6 m )ĵ and b = (- 11.0 m )i+(6,9m (a) In unit-vector notation, what is the sum of a…

A: Given that:a→=(3.3m)i^+(3.6m)j^b→=(-11m)i^+(6.9m)j^IT is required to find the sum of (a→+b→), the…

Q: Vector A has a magnitude of 20.5 units and it points in a direction 305° counterclockwise from the…

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Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

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Q: A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal. What is the…

A: Given, A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal .

Q: Vector  A, with magnitude 29.0 units, points in the positive y-direction. Vector  A + B has a…

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

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Q: An ocean liner leaves New York City and travels 22.4° north of east for 239 km. How far east and how…

A: All physical quantities in this world is classified as either vectors or scalars. Any vector can be…

Q: vector A has components Ax = -3.0 and Ay = -4.0, and vector B has components Bx = 3.0 and By = -8.0,…

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Q: A frog makes four jumps in a row. The displacement vectors for the four jumps are: (1) 28.0 cm, due…

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Q: A skater glides along a circular path of radius 4.90 m. (a) If he coasts around one fourth of the…

A: radius of the circular path (r) = 4.90 m

Q: A vector has the components Ax=22m and Ay=13 m. (a) What is the magnitude of this vector? (b) What…

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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: In the next sets, you are given the magnitude and one component. There is an ambiguity in…

A: 6) A) Ay = 42|A| = 72

Q: Vector A has a magnitude of 12. When it makes an angle of 30° with the +x axis. What is its y…

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Q: A physics student adds two displacement vectors with magnitudes of 8.0 km and 6.0 km. Which one of…

A: Given data:  Two displacement vectors d1 = 8.0 km and d2 = 6.0 km Required: The magnitude of maximum…

Q: At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis,…

A: Concept: As per question draw the schematic diagram of the system. For Part (a) The schematic…

Q: A jogger travels a route that has two parts. The first is a displacement A of 2.65 km due south, and…

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Q: A traveler is exploring an unfamiliar cave in the Northern Luzon. She follows a passage 180 m…

A: Vectors and scalars are treated differently. We need to take care of the directions respectively.…

Q: A jogger runs 77 meters in a direction 20 degrees east of north (Ajand then 27 meters in a direction…

A: Given  A=77m β=20 B=27 α=35

Scalars and Vectors

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