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: A coconut falls freely from the tree until it hits the ground with a speed of 10 meters per second.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: For vectors B = -1- 4ĵ and Ẩ = - 3î - 2ĵ. Calculate the magnitude of A - B.

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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: 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: Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below the…

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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: Q1 B: Consider these two vectors A-2i+3j+5k and B-5i+3j+10k, find the following D=AXB

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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: Vector A is 6.31 m at an angle of 265.6 degrees. what is the y-componenent of vector A?

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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 acceleration vector of a particle given its position…

Q: y (m) 6.0 4.0 2.0 A →x(m) 2.0 4.0 6.0 8.0 10 Find the z and y components of its position vector at…

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Q: The three vectors in the figure have magnitudes a = 3.10 m, b = 2.60 m, and c = 10.2 m and angle 9 =…

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Q: Vector A has a magnitude of 8.0 m, South and vector D has a magnitude of 10.0 m, 53° W of N. Find…

A: Given: The magnitude of vector A  is 8 m in the south direction. The magnitude of vector D is 10 m…

Q: You have two vectors, A and B. Find the vector sum of 2.1. 1 of 2.1 A +-3.5 B. A-3.62+3.93…

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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: If a vector W has components W=-3.0 and Wy=4.0, what is the magnitude of the vector? Make sure your…

A: the vector W has the horizontal and vertical components which can be given as  Wx=3.0 Wy=4.0…

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: Given the vector, A = 2 i + 8 j, determine the magnitude of 3A.

A: Magnitude of 3A is 24.74 unit

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 CC has a magnitude of 23.423.4 m and points in the −?‑−y‑direction. Vectors AA and BB both…

A: Given vector C which has magnitude is 23.4 m and direction in negative y axes Vector A makes angle…

Scalars and Vectors

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