Two vectors E, and F, lie in the xy-plane as shown in the figure below. If F, 30 units, and F2 = 20 units, the magnitude of their resultant is: А. 31.4 y В. 9.8 C. 22.5 F1 D. 2.3 45° 30 E. 15.6

Q: Given the vectors A = (-2î + j) m and B = (4î – j) m- The direction of the resultant vector R = Å +…

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Q: Two vectors , and F, lie in the xy-plane as shown in the figure below. If F, = 30 units, and F2 = 20…

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Q: Where 31.2 m is the length of the vector and 76.9° is the angle it makes with the y-axis, what is…

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Q: Given that A, B and C are vectors, which of the following are legitimate mathematical operations?…

A: Solution:-Given that A, B and C are vectors

Q: Q1\A: Consider these two vectors A-2i+3j+5k and B-5i+3j+10k, find the following C-A.B

A: Given data:  Two vectors A = 2i + 3j + 5k And B = 5i + 3j + 10k Required: The dot product of vector…

Q: gle between the two vectors A = 21 + and Given the vector A = 100m at 36.9 ° above the negative…

A: Given A= 100m θ= 36.9°

Q: Vector A is 9 m, 60.0o North of East and Vector B is 3 m 30.0o West of North. What is the resultant…

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Q: For A = x ax + y ay +z az and B= 2x ax + 3y ay + 3z az. Find the followingat (2,2,1). a) C = AXB b)…

A: Given that, A→=xa^x+ya^y+za^zB→=2xa^x+3ya^y+3za^z At (2,2,1), we have to find  C→=A→×B→ A→×B→ and…

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: a. What is the x and y component of F1? b. What is the x and y component of F2? c. Find the…

A: a) by component method  F1x = 40×Cos35° = 32.77 N  F1y = 40×Sin35° = 22.94 N  b) F2x = - 65 N  F2y =…

Q: w. W = 37, & V = 33. Let R = W + V. Determine the c Vector W Vector V Vector R 70* 80* relative to…

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Q: Two vectors A = 1î - 2j and B = 2î + 3]. %3D Find the approximate angle between the vectors (-3A)…

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Q: 1. Three vectors are given by, R, = 2î + 3j – 6k, R2 = 21 – mj – 8k and %3D R, = nî + 4.5j – 9k…

A: We have 3 vectors, R1→=2i^+3j^-6k^R2→=2i^-mj^-8k^R3→=ni^+4.5j^-9k^

Q: If a resultant vector has an x-component of -43cm and a y-component of 34cm, what is the direction…

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Q: A vector has an x-component A, > 0 and has an angle 0 with respect to the +x-axis. Which of the…

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Q: Margaret walks to the store using the following path: 0.710 mi west, 0.350 mi north, 0.270 mi east.…

A: Given data:  Firstly walk 0.710 mi, due West Then 0.350 mi, due North Then 0.270 min, due East…

Q: QUESTION 7 The Fig shows two vectors, whose magnitudes are A = 6.8 units and B = 5.5 units. Then the…

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Q: Two vectors A = 1î - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and…

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Q: Vector x-component |27N, 135° A. 45N, 740 Β. |15N, 265° C. y-component E. F. |G. Δ.Σχε Η.Σ.γε |I.…

A: The method is to draw the vectors first and notice in which quadrants they belong. Then identify the…

Q: IVGSX Vector A is 5 units in length and directed 48.0° north of east, and vector B is 2 units in…

A: magnitude of vectorA, A→=5B, B→=2

Q: #4. What is the magnitude of A+B+C, where A=1.00 +3.00-1.00k, B=3.00-1.00j-3.00k, and C = -1.00…

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Q: If the vector A = Î - 2j and the vector B = 41 -5j, what angle does A + B form with the x-axis? OA30…

A: The problem is based upon the concept of the addition of a vector and its component. Using the…

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: Q2. A dog searching for a bone walks 3.5m south, then 8.2m at an angle 30°north of east, and finaly…

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Q: Vectors A and B are shown. What is the magnitude of a vector Cif C = A - B? O O O O O 40 60 a. 10 78…

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Q: 6. Solve for the required using the given vectors B = 4 j + 9k - 5i c. (A X B) x C A = 31 – 8j + 6k…

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Q: . The direction of vector A is opposite the direction of the unit vector i. Vector B has half 3 →…

A: Direction of vector  is opposite to .Magnitude of vector  is half of magnitude of vector , that is,…

Q: Vector A +x +y Vector A is shown. Which of the following options represents A, the component of…

A: Introduction: Physical quantities are divided into two types depending on its direction. Scalars and…

Q: Have you considered all possibilities? (c) a + b = and a² + b² = ². O a=0. ☐ a and b are in the same…

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Q: Three vectors A, B and C add together to yield zero, i.e. A + B + C = 0. The vectors A and C point…

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Q: For what values of x and y, the vectors = 31+ yj-3 and 6=2xi+2xj-3are equal? A. x = 3, y = 3/2 В.х 3…

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Q: If vector A = 2i - 2j and B =1i +1j. Find the magnitude of vector C = A + 2B. O A. 4 OB. 2√2 O C.…

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Q: Find the x and y components of a position vector, of magnitude r = 88 m, if its angle relative to…

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Q: The components of vectors ?⃗ and ?⃗ are given as follows: Ax = 5.1 Bx = -2.6 Ay = -5 By = -4.3 What…

A: Given value--- Ax = 5.1  Ay = -5 Bx = -2.6 By = -4.3 We have to find--- magnitude of resultant?

Q: In cylindrical coordinater the vector À ii given by A Find 7À and vxĀ. (10P)

A: Divergence of A is zero. Curl of A is -1/ρ.

Scalars and Vectors

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