Consider the two vectors  = A= 5 î − ĵ and B = − î − 6 ĵ. (a) Calculate  A+B  (b) Calculate  − A-B (c) Calculate |A+B| (d) Calculate|A-B|   (e) Calculate the directions of  A+B  and  A−B .   A+B = ? (counterclockwise from the x axis) A-B = ? (counterclockwise from the x axis)

Q: Consider the following vectors: A=3i+ 6j B=2i – 3j+ 4k C=5i – 2j+ k Find (a)R=A+B – C (b)А . В (с) В…

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Q: Given: A = B A = 17.6 0 A = 197.4° B = 8.3 0B 11° (a) Calculate the x-components and y-components of…

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Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 3.46 and 3.57 units, respectively,…

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Q: A + B + C = 0 Problem 1: A new landowner has a triangular piece of flat land she wishes to fence.…

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Q: Find the following quantities for A⃗ and B⃗ A⃗ = −12mˆi + 4.0mˆj + 1.5mˆk B⃗ = 2.8Nˆi − 21Nˆk (a) A⃗…

A: Given, A = −12mˆi + 4.0mˆj + 1.5mˆk B = 2.8Nˆi − 21Nˆk

Q: fter adding vectors you find that the x component F the resultant is -16 and y comp is 7. nd the…

A: angle is given by tanθ =Ay /Ax

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 a lies in the yz plane 68.0° from the positive direction of the y axis, has a positive z…

A: The magnitude of the vector a is 3.70 m and its direction is 68.0° from the positive direction. The…

Q: Problem 2: A new landowner has a triangular piece of flat land she wishes to fence. Starting at the…

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Q: The figure shows three vectors. Vector ?⃗ A→ has a length of 31.031.0, vector ?⃗ B→ has a length of…

A: Given value--- Vector A has a length of 31, vector B has a length of 67.0 vector C has a length of…

Q: 4) Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

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Q: Consider two vectors.  a=19.5x+17.5y b=3.9x-4.5y    what is the angle of the vector a-b…

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Q: Problem 4: Consider the three vectors A = 2.3i + 2.1j+9.3k, B = -11.6i + 1.1j+ 4.1k, and C = 1li -…

A: solution as

Q: Vector C has a magnitude of 23.4 m and points in the −y‑direction. Vectors A and B both have…

A: Given value--- C = 23.4 m. alpha = 42.9 degree.  beta = 28.7 degree. We have to find--- magnitude…

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

Q: The route followed by a hiker consists of three displacement vectors → A A → , → B B → , and → C C →…

A: The magnitude of vector A: 2140 m The direction of vector A: 21.0° north of east The direction of…

Q: Given p with magnitude of 40 and a direction of 25°, q with magnitude of 75 and a direction of 270°,…

A: let p = 40 and angle = 250 q = 75 and angle = 2700 p = 30 and angle = 2200

Q: Consider the following vectors: A = 4.6i + 1.4j+ 3.4k B = -6.5i + 7.lj + 10.2k Part (a) What is the…

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Q: Given the vectors A=(3,2) and B=(5,5), find: a) The components of vector C=A+B b) The magnitude…

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Q: The figure shows three displacement vectors A, B, and C. These vectors are arranged in tail-to-head…

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Q: Consider two vectors, A = 16.1 m at 44.0°, and B = (-9.70î + 3.70ĵ) Determine the x and y components…

A: Given vector i.e. it makes an angle 44⁰ with x-axis. Remember  Therefore it (vector A) can be…

Q: Problem 1: Object 1 is located at position (2, 3)?. Object 2 is located at position (8, 11)?. a)…

A: Given: object 1 is located at (2,3)  Object 2 is located at (8,11)  To find the displacement vector…

Q: The two vectors a and b in the figure have equal magnitudes of 10.3 m and the angles are 0₁ = 31°…

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Q: Consider the three displacement vectors A = (41-3ĵ) m, B = (9î - 3ĵ) m, and C = (-61 +5ĵ) m. Use the…

A: a) Calculate the vector D. D→=A→+B→+C→D→=(4i^−3j^) m+(9i^−3j^) m+(−6i^+5j^) mD→=(7i^−1j^) m

Q: Given (Ā× B) - C. B) . Č. (a) Prove that for any three vectors Ā, B, and C, A · (B × C) = (Ả × B)

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Q: Given: u = K-4, -1>, v= , W = , and z = . Based on the components of the given vectors, match the…

A: Given vectors                                     u = -4,-1v = 0,-3w = 1,-1z =4,2 Now we have to…