What is the resultant of vector A=2i +2j, and vector B= -2i+1j :Select one а. 5V2 b. 3 c. 3.5 d. 2 е. V26

Q: Assume you have the following two vectors: A 14i+ 15.5j + 13k B = 1.3i+ 7.5j - 1.9k Part (a) What is…

A: We will calculate the cross product with the help of determinants

Q: Q3: What is the sum a +b if a (-4.0 m) i+(3.0 m) "j and b (-11.0 m) i+ (7.0 m) j? What are the (b)…

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Q: e vector position of the particle at any time t

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Q: 3. The vector position of a particle varjes in time according to the expression r = (3.00i –…

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Q: 2. Suppose two vectors are given by A = (5.0 m) ây + (2.0 m) ŷ and B = (-3.0 m) x – (5.0 m) ŷ. (a)…

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Q: D According to the graph, how are A, B, and C combined to result in the vector D if the three…

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Q: #2. Draw each of the following vectors, then express these vectors in terms of unit vectors. a) d =…

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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 a-D=11i+2j-15k…

A: given-          A = 2i +3j +5k          B = 5i + 3j +10k

Q: 7. A speedboat moves on a lake with initial velocity vector vx = 8.51 m/s and v1y = -2.47 m/s, then…

A: Given: The Initial velocity of the speedboat v1,x = 8.51 m/s and v1,y = -2.47 m/s Time for the…

Q: Position vector: 7(t) = x(t)î + y(t)j x(t) = at + b , where: a = 1.00", y(t) = ct2 + d, where: c =…

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Q: B. Plot That Vector Directions: Using the head to tail diagram method, plot the following vector to…

A: We will need the following formula to get the resultant vector from a succession of vectors.…

Q: 1. Multiply the Following Vectors using cross Product method. W = i xP F = ( 5i +3j – 8 k) N * = (2i…

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Q: hiker walks 4.66 m, E and 6.25 m, N. What is the direction of his resultant displacement?

A: Hiker displacement given as,4.66 m east and 6.25 m Northresultant direction of displacement, θ=?

Q: PROBLEM: A cannon is fired with muzzle velocity of 180 m/s at an angle of elevation = 47°. %3D For…

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Q: In a coordinate system (O, i, j), the position vector of a moving particle is given by: r (t) = ti +…

A: Given data: The position vector of the particle, r→(t)=ti→+t2+1j→ (a) Substitute 0 for t in the…

Q: 3. The vector position of a particle varies in time according to the expression r = (3.00i –…

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Q: Given an acceleration vector, initial velocity (uo.vo), and initial position (Xo.yo), find the…

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Q: The position of a particle is represented by a vector i of 20 m long and directed with an angle of…

A: Given data: r→=20 m  and  θ=45o The position vector of the particle, in terms of x- and y-components…

Q: GP A speedboat increases its speed uniformly from v, = 20.0 m/s to v,= 30.0 m/s in a distance of…

A: Given,vo = 20 m/sVf=30 m/sx= 200 m

Q: How was the approximation of -.71 and .71 calculated?

A: The magnitude of vector V=(-3,3) can be calculated as follows,

Q: The velocity V of a par ticle moving in the xy plane is given by 7 - ( 5.50 - 5.00 )+ 9.00 7, with V…

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Q: At time t1 = 0 s, the position vector of a sailboat is (2i + 3j). Later, at time t2, the sailboat…

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Q: 1. Please refer to the following vectors: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j -…

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Q: Q2/A: Given a particle moving according to target represented by R(t)=(r'- 1)i+2tj-(t+1)k ,find…

A: We know that, Velocity vector  v(t) = dR(t)/dt  Acceleration vector a(t)  = dv(t)/dt  Speed =…

Q: A student runs to school, covering a distance of 0.50 km in a direction of [N20^0 E] as measured…

A: Vector and scalar are two intrinsically different mathematical tools of measurement. While a scalar…

Q: 1.  Please refer to the following vectors: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j -…

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Q: A boomerang is thrown with the following displacements:  3.7 m to the east, 2.4 m 30o North of West,…

A: Initial displacement  r1=3.7 m eastsecond displacement  r2=2.4 m 30° North of westFinal displacement…

Q: fish swimming in a horizontal plane has velocity vi (4.00i +1.00j) m/s at a point in the ocean…

A: Model of the fish as a particle under constant acceleration. Lets assume that x and y be the…

Q: B.Find the x and y components of the following vectors: show complete solution Vector x-component y-…

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Q: 3057j m/s unit vector of bullet = -j Object A and B left at the same time and at the same point.…

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Q: Lionel Messi of FC Barcelona kicked a football with an initial velocity of 20.0 m/s at an angle of…

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Q: 1. A particle starts from the origin at t 0 with a velocity of (16.0i – 12.0j) m/s and moves in the…

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Q: #1. A particle undergoes acceleration ở while moving from 1 point 1 to point 2. Which of the choices…

A: Acceleration at point-2 is in opposite directions of velocity-V1

Q: :Q2 A: If one component of a vector is not zero, can the magnitude .of the vector be zero? Explain…

A: SOlution: can vector magntitude be zero if the one componet of it izero? if additon of two vectors…

Q: 3 h (8%) Froblem 10: A diver explores a shallow reef off the coast of Belize. She initially swims d…

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Q: (b) Find the velocity vector u(t). Hint: The velocity is the time-derivative of che position.

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Q: 7(t) = x(t)î + y(t)ĵ x(t) = at + b, where: a = 1.00' Given: Position vector: m x- component: b =…

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Q: During a relay race, you run the first leg of the race, a distance of 1.8 x 104 m to the north, in…

A: Given: distance travelled for the first leg of the relay race d1 = 1.8*102 m (towards north) time…

Q: A boomerang is thrown with the following displacements:  4.5 m to the east, 7.5 m 30o North of West,…

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Q: 1. Please refer to the following vectors: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D =…

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

Q: Q/ A particle moves in an xy plane according to x(1)= -20.00 + 20.00t - 4.00 and with x and y in…

A: Given data: xt=-20+20t-4t3yt=25+17t-19t2 Time t=10 s.

Q: 2. A boat heads directly across a river41 m wide at 3.8 m/s. The current is flowing downstream at…

A: As per guidelines we are suppose to do only one question from multiple question kindly post the…

Q: If Vector has a contonr and tooo events and sets an angle of 45 degreess then its Camponents are D…

A: A vector making 45o with x-axis then it must have equal components. Because, if we resolve any…

Q: Q1/ A motorist drives North at 2 m/s for 1.5 min, then turns East and travels at 2.5 m/s for 1 min,…

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Q: e velocity vector of the boat has two components: v1 is the velocity of water, and v2 is the…

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Q: Q4) A vector A has components A = 6.8 unit and A, = -7.4 unit. What is the magnitude and direction…

A: Apologies. We only answer one question at a time. we will answer the first one as the exact one…

Q: Given an acceleration vector, initial velocity (uo,Vo), and initial position (Xo.Yo), find the…

A: Initial velocity = <0,3>Initial position = <5,0>Initial acceleration = <cos t , 5 sin…

Scalars and Vectors

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