Calculate the resultant of (a) v1 − v2 + v3 and (b) v2 − v1 − v3 when v1 = 22 units at 140 degrees, v2 = 40 units at 190 degrees, and v3 = 15 units at 290 degrees. Show illustrations.

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A: Coordinates of space shuttle are given: x - coordinate (x) = 7t3…

Q: Given the two displacements D= (6.00î + 3.00ĵ – 1.00R)m E = (4.00î – 5.00ĵ + 8.00k) Find the…

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Q: If d1= 3m, 60 degrees east of north, d2= 4m, 45 degrees SW and d3= 6m, 30 degrees NW, what is the…

A: given: d1 = 3 m direction : 60 degrees EN   d2 = 4m direction : 45 degrees SW   d3 = 6m direction :…

Q: Suppose that A>and B>have nonzero magnitude. Is it possible forA>+ B>to be zero?

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Q: Part A A = -2.00î + 6.003 and B= 5.00å – 3.003. Express your answer in degrees. ANSWER: Part B A =…

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Q: Given the following system of two equations: 9.5x+9.0y=2 3.0x+6.5y=9

A: Solving system of linear equation:

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 2m/sec…

A: Given : Distance by which person A and B are separated = 350 m Distance of Person A to North = x m…

Q: The components of a vector B>satisfy Bx 7 0 and By 6 0.Is the direction angle of B>between 0°…

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Q: Vector V⃗ 1V→1 is 6.4 units long and points along the negative x axis. Vector V⃗ 2V→2 is 9.0 units…

A: Given: The vector V1 is 6.4 units long along -the x-axis. The vector V2is 9 units long at 60o with a…

Q: A person first takes one walk and then another, as described by two displacement vectors A and B: A…

A: Ax=2mAy=4mBx=5mBy=3m

Q: A student walks 1 km due east and 3 km due south. Then she runs 5 km due west. The magnitude of the…

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Q: Two vectors, V1 and V2, add to a resultant VR = Vj + V½. Describe V, and V, if (a) VR = Vị + V2, (b)…

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Q: A dog searching for a bone walks 4.5m west, then 15.5m at an angle 40°north of east, and finally 3m…

A: Note :- : Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Find the magnitude and the direction of the resultant, graphically A 5 m 30 10 m B

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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: Given that A +B+C= 0, find the magnitudes of A and B.

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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: • Find Ax and Ay for the vector its magnitude and direction given by A = 3.5 m and ©=66°…

A: (a) The values are, Ax = 3.5cos(66) = 1.4m Ay = 3.5sin(66) = 3.18m

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: An engineer designs a roller coaster so that a car travels horizontally angle of 46.0° below the…

A: The total displacement x direction,

Q: A novice golfer on the green takes four strokes to sink the ball. The successive displacements are…

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Q: A hiker begins a trip by walking 25 km southwest from the base camp. On the next day she walks 40km…

A: Draw the vector diagram for the complete trip.

Q: 1/3 SS For the given vectors V₁ and V₂ of Prob. 1/2, de- termine the magnitude of the vector…

A: Solution:-

Q: a. vx = 20 m/s , vy = 36 m/s . Find the vector's magnitude and direction.   c. ax = 3.0 m/s2 , ay…

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Q: The components of vector 4 are Ax = +2.2 and Ay = -6.9, and the components of vector B are given are…

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Q: Find the following [Both direction and magnitude] Ả – 3B + 2č +Y "Ā(25) ċ(10) 500 -X +X 200 B(18) -Y

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Q: How come that N1 is 1.00 and N2 is 1.499? Isn't N1 should be 1.459?

A: Given data :- angle of incidence θ1 = 47° refractive index for red ray = 1.459 refractive index for…

Q: Determine the magnitude of the vector V and the angle e which vector V makes with positive x-axis?…

A: Calculate the angle of V1. θ1=tan-134=36.87 Write the expression for the unit vector notation of…

Q: A person going for a walk follows the path shown in the figure, where Y, = 272 m and e = 62.0. The…

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Q: Figure E1.28 В (15.0 m) D (10.0 m) |30.0° 53.00 25.0° Č (12.0 m) Ã (8.00 m) 3. Given the vectors on…

A: Please note : As per answering guidelines I can answer the first three parts of a multisub-part…

Q: An explorer in the dense jungle of equatorial Africa leaves her hut. She takes 60 steps 30° South of…

A: in phase 1 her displacement in terms of vectors is r1→=60(cos30oi-sin30oj) in phase 2 her…

Q: The position of an object in circular motion is modeled by the given parametric equations, where t…

A: Given value--- x=7sin((pi/8)t), y=-7cos((pi/8)t) We have to find--- How long (in sec) does it…

Q: What is the magnitude (size) of the resultant vector using the Pythagorean theorem of the ff x:…

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Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

A: We are allowed to give the explanation of first question only which is given below.  Please repost…

Q: A truck starts out at position x = 3.2 mi and y = 6.2 mi and winds up at position x = 5.6 mi, y =…

A: Given that, The initial position of the vehicle  =    r1→=3.2i^+6.2j^ The final position of the…

Q: 6. A student walks 1.0 kilometer due east and 3.0 kilometer due south. Then she runs 5.0 kilometers…

A: Given,        1KM due East        3KM due south       5KM due west    displacement is the shortest…

Q: A particle travelled 3.9 m north then turned west and travelled 9.5 m in that direction and lastly,…

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Q: Vector A has magnitudee 35. When added to vector B of magnitude 20, possible magnitude of the sum…

A: Magnitude of vector A is A = 35  Magnitude of vector B is B = 20  Let angle between the vectors is Φ…

Q: If two vectors A and B have the values A = 2i + 3j – 4k and B = 3i – 4j + 2k, find the result of A x…

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Q: x [m] = 0.75 at x = 1. See the Figure. Note that on the red line, y = 0.5 at x = 0, and y What is…

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Q: A person walks 25.0 degrees north of east for 3.10 km. How far would she have to walk due north and…

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Q: A novice golfer on the green takes four strokes to sink the ball. The successive displacements are…

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Q: In a hospital, a doctor walks 10 m east, 14 m 45° north of east, and 12 m 20° south of west. Find…

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Q: As an example of the manipulation of an electron beam, consider an electron traveling away from the…

A: Given,vi = 1.78 ×107 msax = 7.50 ×1014 ms2ay = 1.62 ×1015 ms2The initial velcotiy of an electron…

Scalars and Vectors

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