A velocity vector, with magnitude v= 50.8m/s , is directed vertically upwards. The coordinate axes are chosen such that the x axis is rotated clockwise by an angle θ= 45.6∘ below the horizontal, as shown. What is the x component, in meters per second, of the velocity vector, v→? What is the y component, in meters per second, of the velocity vector, v→?

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: Two consecutive golf balls are shot with in which displacements are:  Δr1 = (301m) î Δr2 = (152m)…

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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 straight river flows east at a speed of 12 mi/h. A boater starts at the south shore of the river…

A: Since, you have uploaded a question with multiple sub-parts and the first sub-part is solved, we…

Q: Vector ?⃗ has a magnitude of 15.1 and is at an angle of 60.5∘ counterclockwise from the +?‑axis.…

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Q: Find the speed and direction of an object with v,= 2.0 cm/s and vy= 3.0 cm/s. O 3.6 cm/s, 56° from…

A: Given data: Vx = 2.0 cm/s Vy = 3.0 cm/s Required:  The speed and direction of the object

Q: An electron's position is given by r=(ti+t2j+2k) with t in seconds and r in meters. A)Determine the…

A: In this question, the position vector is given and we need to calculate its velocity in unit vector,…

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: The three vectors in the figure have magnitudes a = 3.10 m, b = 2.80 m, and c = 10.3 m and angle 0 =…

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Q: Which of the following quantities are vectors, and which  are scalars? Be sure to explain the…

A: CONCEPT: Vector quantities are those quantities which have both magnitude and direction because…

Q: Consider two vectors.  a=19.5x+17.5y b=3.9x-4.5y    what is the angle of the vector a-b…

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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: 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 sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

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: The route followed by a hiker consists of three displacement vectors → A A → , → B B → , and → C C →…

A: The magnitude of vector A: 2140 m The direction of vector A: 21.0° north of east The direction of…

Q: Consider two vectors are in the x-y plane. Vector a has a magnitude of 5.0 N and is directed along…

A: In general, a vector is defined as follows. A→=Axi^+Ayj^ Let us calculate the x  and ycomponents of…

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: y (north) (5.0 m) x (еast) 30° A (15.0 m) For the two vectors shown on x-y axes in the figure, what…

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Q: Find the speed and direction of an object with v,x-18 m/s and vy- 30 m/s. %3D O 24 m/s, 66 ° from…

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Q: Given the following vectors: A = -3i; B = i-3j+5k; and C = 7i-15j (i)Find the magnitude and…

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Q: If a poodle is roaming in the direction N 38 degrees E at a speed of 2 mph . What is the poodle's…

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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: P= 120 lb 30° 70° 0 = 100 lb Using direction cosines, the vector P in the diagram can be expressed…

A: Given: The magnitude of the P is 120 lb. The angle of the P is 30o with positive x-axis.

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A: Correct answer is 4th option    9.53i +0.5j Method involves resolution of vectors in their…

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 resultant vector of two vectors where one has a magnitude of 5 cm pointing 60° N of E…

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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 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: 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: The direction of the vector A = 4 i +4j is O 0° O 45° O 90° none of these

A: Given data: The vector, A→=4i+4j              (1)

Q: Consider two vectors C & D in XY-plane, shown in the figure beside. If C-D-12 m and a-30, the vector…

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Q: The vector difference between Vectors A and B is 223.606 N, 26.57° N of W or 223 606 N, 63.43° NW.…

A: north of west

Q: Here are three vectors in meters: á 1 = -6.60î + 8.70ĵ + 3.50k 2 = - 2.00î – 4.00ĵ + 2.00k d 3 =…

A: Given Data : The first vector is given as d1→=-6.60i^+8.70j^+3.50k^ The second vector is given as…

Q: the negative x-axis. What is the rectangular form of vector A ?"

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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.