Three vectors,S ,T , and U , have the components shown in the table. What angle does the resultant of these three vectors make with the + x-axis?

Q: A hiker walks along the city streets 15 km north, then 7 km east.  What is the direction of the…

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Q: The displacement vectors A and B shown in the figure below both have magnitudes of 1.97 m. The…

A: Given:-  The magnitude of the vectors A and B is 1.97 m  The direction of vector A is θ =42° Find:-…

Q: You have two vectors. One has a magnitude of 3.9 cm and an angle of 57.4 degrees while the other has…

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Q: Analyze the following vector system and calculate the magnitude and direction of the resulting…

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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: A hiker walks along the city streets 4.0 km north, then 3.0 km west. What is the magnitude of the…

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Q: A plane flies 25km in a direction 30 degrees north of east. The plane then flies 15km in a direction…

A: Given: Plane flies 25 km in a direction 30 degrees north of east. The plane then flies 15 km in a…

Q: The components of all the vectors are INTEGERS. Consider the two vectors, A and B, in the figure.…

A: The x- and y-components of the vector sum C, respectively, can be determined as follows.

Q: ectors A and B are shown in Figure 3. The magnitudes of the two vectors are shown in arenthesis. a.…

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Q: The following are five displacement vectors: A=2000 lb, north B=4000 lb, 60° north of west C=5000…

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Q: In the diagram, the dashed lines are parallel to the x axis. The magnitudes of the vectors are A =…

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Q: /8 nponent of the vector A - B. /8 itude of the vector A + B.

A: a vector can be written as A̅ =Ax î +Ay ĵ

Q: Consider the three displacement vectors shown in the figure: Vector A has a magnitude of 8.40 km and…

A: magnitude of A = 8.4 km magnitude of B = 6.4 km magnitude of C = 3.5 km

Q: The diagram below shows two vectors, A and B, and their angles relative to the coordinate axes as…

A: As the vector A and B is parallel to x axis, the y components of vector A and vector B will be…

Q: Three displacement vectors of a croquet ball are shown in the figure, where  |A| = 16.0 units,…

A: Given Magnitude of vector A=16.0 unit B=35.0 unit C=30.0 unit Now from the given diagram we can…

Q: positive x-axis. What direction (as an angle counterclockwise from the positive x-axis in degrees)…

A: Here, we have seen there are two vectros like,

Q: Vector A is 3 units in length and points along the positive x-axis, vector B is 4 units in length…

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Q: For the vectors given in the following figure, use a graphical method to find the following…

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Q: The problem below refers to a vector V with magnitude |V| that forms an angle ? with the positive…

A: Magnitude of a vector  is Angle made by given vector with +x-axis is Find:Horizontal and vertical…

Q: A small plane flies a distance d1 = 46 km in a direction θ1 = 62o north of east and then flies d2 =…

A: Depict the path followed by the small plane using the given co-ordinates,

Q: Two cars are originally at the origin of a coordinate system. Car A drives directly East for 4…

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Q: Consider the two vectors represented in the drawing. Which of the following options is the correct…

A: Vector calculations can also be done using graphical methods. In the given problem we will see how…

Q: Jerome has been given the following 3 vectors; A, B, & All the vectors are in the x-y plane. The…

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Q: A small plane flies a distance d1 = 32 km in a direction θ1 = 64o north of east and then flies d2 =…

A: Given: Distance d1 =32 km Distance d2 =23 km Angles = 64 degrees and 18 degrees

Q: es A vector M and has a magnitude of 7 units, and N has a magnitude of 5 units, and the cross…

A: In this case, there are two vectors whose magnitude is given. The cross product of the two vectors…

Q: Please answer it within 30 minutes. I will upvote! Find the resultant vector of the following…

A: The given vectors have the following magnitudes and directions v1=7.5i^v2=15j^ Since the vectors are…

Q: The components of all the vectors are INTEGERS. Consider the two vectors, A and B, in the figure.…

A: Write the vectors A and B in vector form. A=3i+2jB=2i−2j Calculate the vector C.…

Q: Consider the three displacement vectors A = (41-3ĵ) m, B = (9î - 3ĵ) m, and C = (-61 +5ĵ) m. Use the…

A: a) Calculate the vector D. D→=A→+B→+C→D→=(4i^−3j^) m+(9i^−3j^) m+(−6i^+5j^) mD→=(7i^−1j^) m

Q: The x-component of vector  R  is  Rx = −27.2  units and its y-component is  Ry = 31.4 units.…

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Q: The two vectors a and b in the figure have equal magnitude of 31 m and the angles are θ1 = 27° and…

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Q: If d1 + 5d2 = 5d3, d1 − 2 = 8d3, and d3 = 2i + 4j, then what are the following vectors in…

A: Let d1 = d1x i + d1y j and d2 = d2x i + d2y j from d1 + 5d2= 5d3 we get  (d1x + 5d2x) i + (d1y+…

Q: Vector A had a magnitude A=4.8 and direction theta = 163.4 degrees measured counterclockwise from…

A: x- component =?

Q: You walk 37 m to the north, then turn 61° to your right and walk another 45 m. Determine the…

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Q: Three displacement vectors of a croquet ball are shown in the figure, where |A| = 15.0 units, |B| =…

A: According to the given data there are three vector present A, B and C we need to find resultant of…

Q: A given line is described by the equation: y = x-l. Vector A starts at point P1 = (0,3) and ends at…

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Q: A student adds two displacement vectors that have the magnitudes of 12.0 m and 5.0 m. What is the…

A: Given data: Magnitudes of two vectors is 12 m and 5 m. Need to determine the range of the magnitude.

Q: Vector A has a magnitude of 10 units and makes an angle of 30 degrees counterclockwise from the…

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Q: Create vectors à = (20, 45°), and b = (10, 270°), and c = (8, 160°). Calculate the vector you would…

A: Given, The vectors with magnitude and direction  a→=20,450b→=10,2700c→=8,1600

Q: A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and, as…

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Q: The rectangle shown in Figure  has sides parallel to the x and y axes. The position vectors of two…

A: Consider the following figure,

Q: Vector A has a magnitude of 10 units and a direction angle of 14° measured counterclockwise positive…

A: magnitude of vector  A = 10 units angle = 140 from+x axis magnitude of  B = ?