The x- and y-components of a vector are: vx = 2.0 m/s, vy = -6.0 m/s.  Find the magnitude of the vector, and the angle between the vector and the positive x-axis.

Q: On what quadrant is the vector -3i - 15j located? On what quadrant is the vector 3i + 15j located?…

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Q: Three displacement vectors of a croquet ball are shown in the figure, where |A| = 19.0 units, |B| =…

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Q: The components of vector A are: Ax=5.6 Ay= -4.7 What is the angle between vector A and positive…

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Q: Where x is the length of the vector and y is the angle it makes with the x-axis, what is the length…

A: 1)  Given :   length of vector = x m                 Angle with x-axis = y deg Solution : Component…

Q: A vector a of magnitude 17 units and another vector b of magnitude 5.5 units differ in directions by…

A: Given: Magnitude of a vector a is |a| =17 units Magnitude of second vector b is |b| =5.5 units and…

Q: Vector A has magnitude of 8 m and vector B has magnitude of 4.1 m. If the angle between the two…

A: Angle between two vector is 60 degree

Q: Given the two vectors A= 20.0 @ 30.0° and B= 17.0 @ 60.0°., What is A+ B in unit vector notation?

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Q: Given two vectors A= 7i + 4j − 2k, and B= 3i − 10j + 3k, calculate the angle between them, where i,…

A: Given Data:- Two vectors are A→=7i^+4j^-2k^ B→=3i^-10j^+3k^ Required:- We need to calculate the…

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: Find the angle between the following pair of vector: A= 3.00i + 5.00j and B= 10.00i + 6.00j

A: Given, A=3.00i+5.00jB=10.00i+6.00j

Q: If a vector has a x-component = - 53.7 m and a y- component = -12.3 m, what is the direction of the…

A: The vector diagram for the provided vector is:

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

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Q: 2i+j+3k represents a vector. a)Determine the magnitudes of the x, y, and z components, b) R's…

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Q: What is the magnitude of the vector r=7.9i - 3.0j, where i and j represent the x-and y- unit…

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Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 6.0 m and points…

A: (given) Vectors are A→, B→ and C→. A→=8 i^B→=6 j^C→=-5 j^ Vector isV→ =A→+B→ +C→    =8 i^+6 j^-5 i^…

Q: Vector A has a magnitude of 13.0 m at an angle of 22.6. What are the components of the vector?…

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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: Two vectors, A and B, have magnitudes of 4.70 units and 9.36 units, respectively. The angle between…

A: The scalar product between two vectors is given by,

Q: Given Five vectors whose lengths and direction – senses are as follows: Aa is 1.5  inch long and 90…

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Q: The vector B>has components Bx = -2.10 m and By = -1.70 m. Find the direction angle,u, for this…

A: Let the magnitude of that vector be B0. And as the both components are negative , so clearly the…

Q: Given that vectors T = + 2.00x + 6.00y – 4.00z and D = 2.00x – 3.00y – 4.00z The angle between the…

A: Given that Vector T = +2x + 6y - 4z Vector D = 2x - 3y - 4z

Q: Vector B ⃗ is 5.0 cm long and vector A ⃗ is 4.0 cm long. Find the angle between these two vectors…

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Q: A vector ?⃗ = (−1.2 m)?̂+ (1.8 m)?̂. Find the magnitude and angle (between 0° and 360°, measured…

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Q: Consider the following two vectors:U = 1.3i + 2.2j + 4.1k V = -5.5i - 6.5j + 11.3k What is the…

A: Given: U = 1.3i + 2.2j + 4.1k   V = -5.5i - 6.5j + 11.3k

Q: Vector  = 6.0 m and points 30° north of east. Vector  = 6.0 m and points 30° east of north. The…

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Q: 52. A vector makes an angle 0 with the horizontal. The horizontal and vertical components of the…

A: The horizontal component of the vector is given as,

Q: In the figure, a vector a with a magnitude of 20.3 m is directed at angle 0 = 46° counterclockwise…

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Q: Two vectors, A and B, have magnitudes of 4.70 units and 9.81 units, respectively. The angle between…

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Q: the x-direction and the y-direction of the displacement vector are Rx = 0.3 mi and Ry = 0.2 mi, what…

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Q: With the given three vector A, B, C. Determine the magnitude product of CxA A= 2i - 3j + 4k B= -3i -…

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Q: Consider the three displacement vectors shown in the figure: Vector→AA→has a magnitude of 8.30 km…

A: The vector A is in the second quadrant since it is 24o to the left of positive y axis. Write the…

Q: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

A: Given: A=25 N (50 N of E)B=16N (75 S of E)C=10 N (35 E of N)D=30N (S)

Q: Vector A has a magnitude of 9.0 and Vector B has a magnitude of 3.0. If the vectors are at an angle…

A: Given data: Magnitude of vector A A = 9.0 Magnitude of vector B B = 3.0 Angle between vectors (θ) =…

Q: The vector B has components Bx -2.10 m and By = -1.70 m. Find the direction angle, for this vector?

A: Given: B→=Bx→+By→=-2.10 i^-1.70 j^ m

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: The two vectors a→ and b→ in the figure have equal magnitudes of 10.2 m and the angles are θ1 = 30°…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Given two vector A -5.00i – 9.00j+ 4.00k and B = -4.00i + 6.00j – 2.00k what is the vector product A…

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Q: In the sum A→+B→=C→, vector A→ has a magnitude of 13.4 m and is angled 44.9° counterclockwise from…

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Q: hiker walks along the city streets 20 km north then 9km east . What is the direction of the…

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Q: A vector in the x-y plane has a magnitude of 30 units with an x component of magnitude 15 units. The…

A: Given :  Magnitude of the vector in x-y plane,  A = 30 units Magnitude of x component of the vector,…

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 vector A has a magnitude of 7 units and points in the -y-direction, while a vector B has double…

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Q: Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B has a magnitude of 4.0 m…

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Q: Vectors C and D have magnitudes of 3 units and 4 units, respectively. What is the angle between the…

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

Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 50.0? (a)…

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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: On what quadrant is the vector -3i - 15j located? On what quadrant is the vector 3i + 15j located?…

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Q: He walks 2.0 km north, then turns and walks 4.0 km south of east. What is his displacement vector?…

A: Write the given values with suitable variables. d1=2 kmd2=4 km Here, d1 denotes the distance in the…