car moves 25 units in the positive X direction and 75 units in negative Y direction starting from the origin in 25 seconds. What is the velocity vector of the car? a) î – 3ĵ b) 3î – ĵ c) î + 3ĵ d) 3î + ĵ

Q: Three vectors are shown in the figure below, but they are not drawn to scale. The sum of the three…

A:

Q: A horse runs 200 m at 30.0o N of E, then 300 m at 60.0o N of E. i) Draw a diagram of the situation.…

A: A horse runs 200 m at 30° N of E, then 300 m at 60° N of E.

Q: W- O 22 W of S 68 S of W O 22 S of W 68 W of S E.

A: x component of vector = 22 cm y component of vector = 55 cm To find: Direction of vector α=?

Q: 4 What is the sum of the following vectors? Show your solution A = 3i + 5j - 2k and B = −4i + 2j +…

A: Vector are added by vector additions method which are 1. Triangle rule of vector addition 2.…

Q: What is the sum of the vectors with components (0,-3) ad (-1,2)?   A. (-1,-1). B. (1,1) C. -2 D.…

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Q: Express the force as a Cartesian vector.

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Q: Calculate the y component of a vector whose displacement is 20 meters and whose direction is north.…

A: Displacement (d) = 20 mDirection = North

Q: // A hexagon with prime vectors in real space: V3a V3a X+ y & c=cz & b' %3D Where x, y and z vector…

A: Given, a'→=3a2x→+a2y→b'→=3a2x→+a2y→c'→=cz→

Q: Here, F is a 15 N force applied on a box at 70° with respect to negative y-axis.

A: Component of a vector obtained by resolution

Q: How do i determine if the i j k vectors are negative? Our instructors never taught us the vector…

A: Solution:-When i, j and k vectors are considered negative.

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: Adding and Subtracting Vectors. A = 5x + 4y B = 2x - 3y C =-3x + 2y D = −6x − lý Solve the following…

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Q: Four vectors have the following x-components: -99, 104,56.-33. What is the x-component of the…

A: x-components of four vectors: -99, 104, 56, -33 To find: x-component of resultant vector X=?

Q: För questions # 19-20 Consider the following displacement vectors d;= 4.5 km due north d2=6.9 km due…

A: Given: d1=4.5 km due northd2=6.9 km due southd3=3.5 km due southd4=4.5 km due south To Find: What…

Q: V₂ = 12 units 60° y V₁ = 10 units PROBLEM 1/2 3 - X M 1 SS For the given vectors V₁ and V₂ of Prob.…

A: Graphical Solution:    The graphical solution has been shown below:  The horizontal scale is 2 unit…

Q: Determine the magnitude of vector Q = 2i - 4j + 5k. a. 3√5 b. 6 c. √13 d. 5

A: Given data:  Vector Q = 2i - 4j + 5k Required: The magnitude of vector Q

Q: The magnitude of A-B is:

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Q: omponents of the following ectors. Show the vector diagram in he x-y plane and show your plution. =…

A: a)  F = 85 N, 57 degrees

Q: Two vectors, of magnitude 30 and 60 respectively, are added. Which one of the following choices is a…

A: The magnitude of the 1st vector is R1 = 60 units The magnitude of 2nd vector is R2 = 30 units

Q: For the following displacement vectors in meters: A =+4.0 j-5.0k, B=-3.0 j+2.0k, and C=-3.0 -2.0…

A: A = 4 j - 5k B = -3j + 2 k C = - 3i -2j + k

Q: 4. A runner goes north 500m, turns east for 1200m, and then goes south for 1000m. What is his…

A: As per bartleby guideline , i have solved first question out of multiple questions.

Q: A body moves in space , the location vector r 2 = 2t i +tj +2 k m, How much the velocity of it at 2…

A: Given: The location vector (r→) is 2t2i^+tj^+2k^ m. Introduction: The velocity (v) of an object is…

Q: 3) Find the magnitude and direction of the following vectors. a) À=5i+3} b) B=10i-7)

A: a) A→=5i^+3j^A→=52+32      =5.83 unittanθ=35θ=tan-135≈31°(with +x axis , anticlockwise)

Q: The next two questions deal with a sailboat A sailboat sails 5 km 35 degroes north of west, then 8…

A: The path of the sailboat is

Q: D. -y

A: Using the graph of given vectors:   B→=(-4-(-12))i^+8j^B→=8i^+8j^…

Q: A=4i-7j B=67-1j Ĉ= -91 + 5j Complete each vector sum. A+B+C = A-B+C = 1 î+ 2 + 7 A+B-C- A - B - C =…

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Q: Q3. Use the following vectors to answer the questions. A A = 3 m B = 2 m В a) 2F + E с C = 3 m D = 4…

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Q: Suppose that A = 2i + j. B=i- 4j + k, and = j+k. What is the magnitude of the vector

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Q: F = 550N 160 mm 240 mm 440 mm y 380 540 mm mm

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Q: Q1 The vectors 2 andB are given by -2i+4)-k m and 5=-3i+5k m. Detemine the scalar and vector product…

A: Answer (1)  Given ( I,j,k are unit vector) Vector A = 2i +4j - k  Vector B = - 3i + 5k =- 3i+0j + 5k…

Q: If A= i + 6j +k , B = i + 2j - k and C= A +B . find the following : 1-The value and direction of C…

A: SOlution: given that A= i + 6j +k B = i + 2j - k C= A +B

Q: The vectors 2 and are given by 1=2i+4j-k mand 3--3i +5k m. Detemine the scalar and vector product i…

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Q: Consider three vectors, A, B, and C such that A+ B+C = -3.11 m. Find the magnitude of C if Á and B…

A: Given data, A→=-0.77i^-0.06j^ mB→=1.06i^+0.44j^ m Also, given condition :- A→+B→+C→=-3.1i^ m

Q: 3A B equals

A:

Q: Two vectors  V= 2i-j+k   And w= 2i + 3j - 2k determine  ll 2v - w ll

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Q: CALARS AND VECTORS: ario leaves his house and walks 8 km North then proceeds 6 km West. Determine…

A: Displacement is shortest distance between initial and final position.

Q: 6. For the vectors shown below, determine A+B-C. B10 mis C- 15 m/s 30 60 A-50mis

A: Given : A = 5 m/s towards positive x-axis B = 10 m/s at an angle of 60° with the positive x-axis C =…

Q: Q2) For the vector A=î+2ŷ – 2 B=- î + ŷ + î C=î- ŷ +22 Compute AxČ.B =

A: Formula of scalar triple product of given vectors is as follows: A→×C→·B→=AxAyAzCxCyCzBxByBz…

Q: Which of the following is not a perpendicular vector to 3x hat + 2 y hat - 5z hat? A. 0 B. None of…

A: given vector = 3x^ + 2y^ - 5z^

Q: 9. Which of the following is a vector quantity? O Speed Distance Mass Velocity 10. A girl leaves a…

A: Here the options are 1. Speed - Speed is a scalar quantity as it has only magnitude no direction. By…