The position vector of a particle is given by r= At5i + Bt6j,where A and B are constants and i and j are unit vectors.Find the velocity

Q: Given vector E = 2i+3j, a unit vector in the direction of E is

A: Given data: Vector, E→=2i+3j Our question is to find the unit vector in the direction of the given…

Q: 2. A delivery man starts at the post office, driyes 40 km north, then 20 km west, then 60 km…

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Q: Two vectors, T and s lie in the xy plane. Their magnitudes are 4.85 and 4.39 units, respectively,…

A: Given data: The magnitdue of vector r = 4.85. The magnitdue of vector s = 4.39. Direction of r is…

Q: A displacement vector points in a direction of 31 degrees left of the positive y-axis. The magnitude…

A: Given,          A displacement vector points in a direction of 31 degrees left of the positive…

Q: Vector C has a magnitude of 28.2 m and points in the -y-direction. Vectors A and B both have…

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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: The vectors in the diagram represent displacements of a particle where A = 23.6 cm, B = 19.3 cm, and…

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Q: Suppose vector A has an x-component of 3.4 and a y-component of 2.0. Let B=cA where c = 6. Calculate…

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Q: The position of a particle is given by:r(t) = A cos(wt)^i + Asin(wt)^j + ct ^k where A is a constant…

A: The objective of the question is to find the velocity vector of a particle given its position vector…

Q: Given a= 2i+j, b = i-4j+k and c=j+k, (where i, j and k are unit vectors in x,y and z directions…

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

A: given: A→=3i+3jB→=i-4jc→=-2i+5jR→=0i-7j

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: = 3i - j - 2k C = -i + j - 4k D = j - 3k E = -i + 2k F = -5k G = 2i H = -3j I = -4i +4j  Two…

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Q: A position vector that belongs to the xy plane is described by the components (x, y) - (-3.00 m,…

A: Cartesian coordinates(X,Y) in polar coordinates are given by X=rcos(theta) Y=r sin(theta) Where r is…

Q: Can you please solve (e) a-b

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Q: Vectors à and B have the same magnitude L and are perpendicular to one another. Find the magnitudes…

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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 C⃗ has a magnitude of 24.6 m and points in the −?‑ direction. Vectors A⃗ and B⃗ both have…

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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.

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Q: Given vectors a=(4,8) and b=(-3,0) Find the magnitude of the resultant vector: T = 2 a + 36

A: Represent the vectors a and b in their resolved component.

Q: Two vectors are given by A = 4.00 i + 7.00 j and B = 5.00 i – 3.00 j. What is the resultant…

A: Given Two vectors are given by A = 4.00 i + 7.00 j B = 5.00 i – 3.00 j

Q: what is the resultant magnitude and directions? Given the vectors A= 6i + 9j, B = -9i + 9j, and C=…

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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: Vector A is in the direction 39.0° clockwise from the -y-axis. The x-component of A is A₂ = -12.0 m.

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Q: The position vector for an electron is 7 = (1.2 m )î – (7.3 m )3 + (5.3 m )k. Find 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: Vector C has a magnitude of 24.6 m and points in the -y-direction. Vectors A and B both have…

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Q: Bradley is installing fencing on a farm. As he is installing the fencing, he moves 65.0 meters…

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Q: The three vectors in the figure have magnitudes a = 2.80 m, b = 3.00 m, and c = 10.2 m and angle 8 =…

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Q: What is the magnitude of the vector (17î − 27) m/s?

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Q: Given the displacement vectors A= (4.00 î - 8.00 j+ 5.00 k) m and B = (1.00 î + 9.00 j – 6.00 k) m,…

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Q: Three vectors A, B, and C have the following components: Ax=5.00, Ay=7.00; Bx=4.00, By=3.00;…

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Q: Vector ? Ԧ points along the +y axis and has a magnitude of 100.0 units. Vector ? points at an angle…

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Q: Given the vectors A = 41+ 8j, B = - 8i + 7j and C = 121 - 10j find the resultant and direction by…

A: A→ = 4i^ + 8j^B→ = -8i^ + 7j^C→ = 12i^ - 10j^

Q: What is the x-component of a vector with a magnitude of 73 cm, 41° South of east? O 54.89 m, North O…

A: Given value--- Vector A = 73 cm , 41 degree South of east. We have to find --- x component of A.

Q: o vectors with a resultant of 14.54 km 10* NE. If one of the vectors is 10 km due east, what is the…

A: Given values:- Resultant vector,(R)=14.54 km ----(1) Angle,(θ)=10 0 ----(2) One of the…

Q: Given vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: T = 3à +26

A: Given  a=(9,-6) b=(3,-2) r=3a+2b (where r, a and b are vectors)

Q: Problem 8: Consider two vectors A and B, expressed in unit vector notation as A = a¡i+ azj and B =…

A: Given: A=a1i + a2jB=b1i + b2 j

Q: Vector CC has a magnitude of 22.222.2 m and points in the −?‑−y‑direction. Vectors AA and BB both…

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Q: Vector A has a magnitude A=5.3 and direction theta =62.0 degrees measured counterclockwise from the…

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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.