Suppose A = (-3.92 m)i + (3.66 m)j, B = (2.56 m)i + (-4.99 m)j + (2.05 m)k, and D = (-3.69 m)i + (-3.85 m)j. What is the angle, in degrees, between D and A?  What is the angle, in degrees, between D and B?

Q: What is the angle between vector Å = 5i + 2j + 9k with z-axis? 80° 45.80 30.9° 61.5°

A: angel between A→ = 5i^ + 2j^ + 9K^ and z - axis. The formula to find the angle between vector and…

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: ctor B in the xy plane has a magnitude of 25.  If it has an x component of 12, what angle does it…

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Q: Instructions: On occasion, the notation A = [A, q] will be a shorthand notation for A = A cos + A…

A: Given-           C = [2.5 cm, 80o]           D= [3.5 cm, 120o] Hence,             C= {2.5 cos(80o)i…

Q: You are walking out for an early morning walk. You walk 5.0 m, south and 12.0 m, east. Then, you…

A: East , West as X axis , North and South as Y axis  Unit vectors along them are i,j

Q: What is the angle between vector à = 4î + 2ĵ + 5k with x-axis? 53.4° O 172.6° O 41.7° O 72.6° O

A: Given data The vector equation of vector A is given as A→=4i^+2j^+5k^.

Q: so that a car travels horizontally for 172 ft, then climbs 117 ft at an angle of 32.0° above the…

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Q: Two points are given in polar coordinates by (r, θ) = (1.60 m, 50.0°) and (r, θ) = (6.60 m, -70.0°),…

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Q: A = 34 m, B = 34 m, and the magnitude of A + B = 48, which of the following is true?

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Q: Question 1/13 The angle (in degree) between vector A= 10i+3j-4k and vector B= i-5j+6k is 1. O 150.8…

A: Given data: The vector A is A=10i+3j-4k. The vector B is B=i-5j+6k.

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: 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: You found a treasure map and it said Start at the well, go 100m straght south, then 30 m 40 degrees…

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Q: A farmer wants to fence off his four-sided plot of flat land. He measures three sides, shown as A,…

A: Given:According to given data the vector form of following vectors,

Q: Determine the angle between that the 5 kN force F and the positive sense of the y axis. F=5 kN 35°…

A: Given diagram:

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: What is the angle between two vectors A and B if A=4i + 12j +6k and B= 24i -8j +6k

A: If θ is the angle between two vectors A→ and B→, then cosθ=A→·B→A→B→

Q: For the vectors V1 = 10 units and V2 = 7.5 %3D units shown in the figure, V1 45° 30 V2

A: V1= 10 units  V2= 7.5 units

Q: Let u = 8i + 2j and v = 8i − j. (a) Find the angle between u and v. (Round your answer to one…

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Q: For question #1, what is the angle (magnitude only) of the resultant force? 10.500 35.17 0 30.0 °…

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Q: What is the direction of the vector r= -6.7i - 5.0j? where i and j represent the x-and y- unit…

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Q: = (6.00 m )î – (4.50 m )j and b = (9.00 m )î + (12.0 m )i. +(20m). Here are two vectors: á (g) the…

A: Please see the answer below.

Q: Two points are given in polar coordinates by (r, ?) = (2.60 m, 50.0°) and  (r, ?) = (3.00 m,…

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Q: Let A = 2i + 6j -3k , and B = 4i + 2j + k. The %3D %3D vector difference D = A - B is: а. бі+ 8j-2k…

A: Given : A= 2i+6j-3k B= 4i+2j+k

Q: An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 147…

A: The initial horizontal displacement is, r1=172 ft The distance travelled with 32°above horizontal…

Q: If |A x B| = A-B, what is the angle between A and B?

A: We know, A→×B→=A→B→sinθ    A→·B→=A→B→cosθ

Q: E = 13.0 km, N 1. Use components to find the magnitude and direction of E +F + Ĝ. Then F = 14.0 km,…

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Q: 21) What is the height of the building to the nearest thousandths? O A. 200 m OC. 0.003 m O D.…

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Q: An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 147…

A: Calculating the total distance traveled by the car, A = 172 ft B = 147 ft @ 32.0° above the…

Q: Determine the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.…

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Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

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Q: 70.0° You are given two Á = -3.00î + 6.00ĵ 2 vec- and 30.0° tors = 7.00î + 2.00ĵ. terclockwise…

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Q: Given these two vectors: à = (5.0 m)ï' – (4. 0 m)j° and b = (7.0 m)ï + (9.0 m)ƒ What are (a) the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Four vectors (A, B, C, D) all have the same magnitude. The angle 0 between adjacent vectors is 45°…

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Q: If S = (1 m) i + (2 m) j + (2 m) k and T = (3 m) i + (4 m) k, the angle between the two vectors a)…

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Q: Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B?…

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Q: Magnitude & Direction 8.6m @ 51.46ragel y-component 7.00 m Vector x-component 5.00 m -2.10 4.99 9.00…

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Q: What is the angle between vector Å = 5î + 2ĵ + 9k with x-axis? 130.8° 30.8° 80° 61.5°

A: Given: The vector A is 5i^+2j^+9k^. The unit vector along the x-axis is i^.

Q: We have two vectors A=(6.0, 9.6) and B=(-8.6, 4.4). What angle does the sum of these vectors make…

A: A = (6, 9.6), B = (- 8.6, 4.4)  Write the vectors in the component form A→ = 6 i^ + 9.6 j^B→ =  -…

Q: 4. A vector A has component Ax = 12 m and Ay =5 m. What is the angle that vector A makes with the Y…

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Q: A roller-coaster car moves 200 ft. horizontally and then rise 135 ft. at an angle of 30.0O above the…

A: Given: AB =200 ft  BC = 135 ft CD = 135 ft

Q: (a.00m)-(. Here are two vectors: - 4.00 m and b = (6.00 m + (8.00 m What are å + b ; (g) the…

A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Q: With respect to the following vectors: P = 9.73i - 7.36j + 1.02k; Q = - 1.77i - 3.68j + 1.43k,…

A: As per Guidelines, We are suppose to answer only 3 subpart from multipart question. Please post them…

Q: From your house,you walk 5.00 m,40° north of east,3.00 m easy.2.20 m,30° south of west. 3.50…

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

A: The dot product of two vectors is:

Q: Consider the following 2 vectors: A –3.29 ; +5.49; B =1.64 ;+4.09; What is A. B? Please express your…

A: Given data:  A→ = 3.29i^ + 5.49j^B→ = 1.64i^ + 4.09j^ Required: The dot product of vector A and…