7) Consider the three displacement vectors A = (3i – 3j) m, B = (i – 4j) m, and C = (-2i +5j) m. Use the component method to determine a) The magnitude and direction of the vector D = A + B+ C and b) the magnitude and direction of E = -A -B +C. (a: 2.82 m @ -45, b: 13.4 m @ 117)

Q: The figure shows two displacement vectors A and B. Vector A points at an angle of 24.0° above the x…

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Q: Answers: a) -3 b) 39 i +15 j +18k c) 4. What are the x and y components of the vector a, which lies…

A: The magnitude of the vector a, a=7.3 m The angle of vector with the positive x axis, θ=250° The…

Q: 4.1. Four vectors are oriented as shown in figure, where A = 2m, B = 4m, C=3m, and D=3m. Find %3D a)…

A: We need to find the magnitude and direction of the given resultant vector R.

Q: Three vectors á, b, and c, each have a magnitude of 53.0 m and lie in an xy plane. Their directions…

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Q: 3. Consider the following three displacement vectors: Vector A has a magnitude of 3.90 km and a…

A: Vector A = 3.90 km @29o north of west Vector B = 6.30 km @25o north of west Vector C = 4.10 km @53o…

Q: A vector, → A , has the components, Ax= -1.2 m, Ay= 2.1 m and Az= 0 m. Another vector, → B has…

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Q: Two vectors A⃗ A→ and B⃗ B→ are at right angles to each other. The magnitude of A⃗ A→ is 2.00. What…

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Q: 2. Three displacement vectors are given as shown in figure. Their mag nitudes are JA- 8.0 m, |B|-…

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Q: 10. Give the negative of the following vectors: A = 18 m, 25° North of west, B = 10 m, 30° South of…

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Q: ne three displacement vectors in the drawing have magnitudes of A = 5.30 m, B = 5.05 m, and C = 4.10…

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Q: 2. Three displacement vectors are given as shown in figure. Their magnitudes are JA|= 8.0 m, |B|-…

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Q: 2. Three displacement vectors are given as shown in figure. Their magnitudes are JA| = 25.0 m, B|=…

A: 3vectors are given : A = 25 with 50 degree B = 18 with 20 degree in Y axis C = 10 with 0 degree with…

Q: Two vectors a→ and b→ have the components, in meters, ax = 6.33 , ay = 1.43 , bx = 1.59 , by = 4.56…

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Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: 1.2 Vector A has magnitude of 11 m/s² and makes an angle of 65 degrees with the positive x-axis, and…

A: (a) The components of the vector A is, Ax=Acos65o=11 m/s2cos65o=4.65 m/s2Ax=Asin65o=11…

Q: are given by đ = 3.01 + 3.0j – 2.0k, 37 Three vectors b = -1.0i – 4.0ĵ + 2.0k, and 7 = 2.01 + 2.0j +…

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Q: Consider the three displacement vectors A = (-2î – 3ĵ) m, B = (4î – 5ĵ) m, and C = (-6î + 5ĵ) m. Use…

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Q: (II) Three vectors are shown in Fig. 3–38. Their magnitudes are given in arbitrary units. Determine…

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Q: The magnitudes of the four displacement vectors shown in the drawing are A =15.0 m, B =11.0 m, C =…

A: Solution: Given that A = 15 m B = 11 m C = 12 m D = 26 m

Q: Find the sum of the following four vectors ((a) and (b) for x and y components respectively), and as…

A: Let's first start by finding the x and y components of each vector. Vector 1: 12.0m at 27.0-degrees…

Q: 49. Given two displacement vectors A = (3.00 i – 4.00 j +4.00k )m and B = (2.00 i + 3.00 j - 7.00 k…

A: It is given that,

Q: Vector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j.…

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Q: 15. Each of the displacement vectors A and B shown in Fig- ure P3.15 has a magnitude of 3.00 m. Find…

A: "As per the guidelines i solved the first three subpart". (a) The vectors are, A→=-3i^ The vectors…

Q: 1. Using the following vectors, find the magnitude and direction of the resultant vector. A =…

A: Given value--- three vector. We have to find--- magnitude and direction of the resultant vector?

Q: Consider the three displacement vectors A = (-2î - 3j) m, B = (4î - 5j) m, and C = (-6î + 5j) m. Use…

A: The three displacement vectors, A→=-2 i^-3 j^ mB→=4 i^-5 j^ mC→=-6 i^+5 j^ m

Q: 41. The and Ay Bx = displacement vector A has scalar components of A, = 80.0 m 60.0 m. The…

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Q: 1. Consider two displacement vectors Ā = (-2î + 4f) m and B = (î – 3f) m, find the magnitude and…

A: 1. Given: A→=-2i^+4j^ mB→=i^-3j^ m

Q: Vectors A and B are shown in Figure 1. a. What is A in terms of x and y components? Answer: A =…

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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: 2. Consider the three displacement vectors shown in the figure: Vector A has a magnitude of 7.80 km…

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Q: Obtain expressions in component form for the the position vectors having the following polar…

A: Answer:   To determine the above values we have general solution which is given as below:   Suppose…

Q: 35. ssm Vector A points along the +y axis and has a magnitude of 100.0 units. Vector B points at an…

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Q: 1.53 · Given two vectors A = -2.00î + 3.00ĵ + 4.00k an B = 3.00î + 1.00ĵ – 3.00k, do the following.…

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Q: You are given two vectors A = (6.0 m). - (1.0 m)Y and B = (3.0 m)â + (7.0 m)ŷ. All angles measured…

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Q: 9- (a) Write each vector in the following figure in terms of the unit vectors î and ĵ. (b) Use unit…

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Q: 1. What is the magnitude and direction of 2. What is the magnitude and direction of AB? RT? B 8.5…

A: (1) The vector AB→ is shown below. The magnitude of the vector AB→ is equal to 8.5 and the…

Q: The three displacement vectors in the drawing have magnitudes of A = 4.95 m, B = 4.50 m, and C =…

A: Given,A = 4.96 mB = 4.50 mC = 3.60 mα = 18°β =52°

Q: Given the following vectors: A = 80.0 N 25.00 south of east, B = 100. N 82.00 north of east…

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Q: 46. The three displacement vectors in the drawing have magnitudes of A = 5.00 m, B = 5.00 m, and C =…

A: Given data: The magnitude of vector A is: 5 m The magnitude of vector B is: 5 m The magnitude of…

Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: For vector addition, we resolve each vector into horizontal and vertical components and then add…

Q: Vector A has a magnitude of 5.00 units, and vector B has a magnitude of 9.00 units. The two vectors…

A: A = 5.00 units B = 9.00 units angle between them(θ) = 50.0o

Q: Given the vectors A = 2.00i + 6.00j and B = 3.00i 2.00j, (a) draw the vector sum C = A + B and the…

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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: 10. Find the x- and y-components to a vector that is 89.5 mm at 305° in standard position. a. -73.3…

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Q: -15N What is the rectangular component of vector F2 ? The magnitude of the vector is F2 = 1.5N. What…

A: Option (C) is correct.

Q: 4. The three displacement vectors in the drawing have magnitudes of A = 5.00 m, B = 5.00 m, and C =…

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Q: (II) Three vectors are shown in Fig. 3–35. Their magnitudes are given in arbitrary units. Determine…

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Q: The magnitude of vector A is 8.6. Vector lies in the fourth quadrant and forms an angle of 37 ̊ with…

A: Given data:  Magnitude of vector A = 8.6 Lies in the forth quadrant Angle (θ) = 37° with the x-axis