Select the answer that expresses F as a Cartesian Vector. (83.21 + 118.8j) N O (118.81 +83.2j) N O (-118.8i + 83.2j) N O (14.51-77.9j) N Y F= 145N Z. 0=35° X
Q: The unit vector 3.00 i + 7.00 j is which of the following when expressed as a magnitude and…
A: A→ = 3i^ + 7j^where, i^ represents x-axisj^ represents y - axis
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: A two pound weight is hanging in a system that has acheived equilibrium (not moving. Find 7₁ and 7₂.…
A: W= 2 lbs
Q: Given two vectors A = -11.3 i + 4.71 j, B = 2.38 i - 12.97 j, find the angle (in degrees) that the…
A: Solution:-
Q: A vector field is defined by: F (x,y,z) = -xi - yj + zk Select the option that gives F expressed…
A:
Q: You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that…
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Q: Given the two vectors A= 20.0 @ 30.0° and B= 17.0 @ 60.0°., What is A + B in unit vector notation?…
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Q: Consider two vectors, A = 16.1 m at 44.0°, and B (-9.70î + 3.70j) m. Determine the x and y…
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Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…
A: a)Resolve vector A into respective x and y components as,
Q: The figure shows three vectors. Vector ?⃗ A→ has a length of 31.031.0, vector ?⃗ B→ has a length of…
A: Concept: Here, the three vectors are given. The length of each vector is, A→=31.0B→=64.0C→=22.0 The…
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: y (north) (5.0 m) x (еast) 30° A (15.0 m) For the two vectors shown on x-y axes in the figure, what…
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Q: Consider the following 2 vectors: A =3.42 î–6.44ĵ B =2.33 î+4.26} What is the magnitude of Á × B.
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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: Vector A has a magnitude of 13.0 m at an angle of 22.6. What are the components of the vector?…
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Q: You have two vectors, A and B. Find the vector sum of 2.1. 1 of 2.1 A +-3.5 B. A-3.62+3.93…
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Q: Vector A has a magnitude of 7 and points in the positive x-direction. Vector B has a magnitude of 22…
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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: Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two…
A: Resultant of a vector is given by, R=L2+D2 Substitute the given values in above equation,…
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Q: Vector A = 5.1 i + 4.9 j. Vector B = 6.9 i + 3.7 j. The dot product of the two is C = A ∙ B (i.e. A…
A: Given that: A = 5.1 i + 4.9 j B = 6.9 i + 3.7 j To determine: C = A ∙ B
Q: 8 units. If the angle Consider the two vectors A = 5 units and B between the two vectors is 37°,…
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Q: Two vectors are given by A = 4.00 i + 7.00 j and B = 5.00 i – 3.00 j. What is the resultant…
A: A→ = 4i^ + 7j^B→ = 5i^ - 3j^
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- Consider vector A, with a magnitude of 3, and a vector B, with a magnitude of 2. Are the following relationships possible? If so, sketch a picture that shows an example of how they're possible, and identify all the angles between the vectors that make the relationship possible. (Exact angles, not decimal approximations. No calculators.) Relationship: Possible? Sketch: Angles: a. 1A+삐>5 b. A+ B| = 5 c. A+ B| = 1 d. A+미<1 - 1<|A+삐<5Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB| is: :Vector CC has a magnitude of 23.423.4 m and points in the −?‑−y‑direction. Vectors AA and BB both have positive ?‑y‑components, and make angles of α=41.9°α=41.9° and β=25.2°β=25.2° with the positive and negative ?-x-axis, respectively. If the vector sum A+B+C=0A+B+C=0, what are the magnitudes of AA and B?
- A vector has a magnitude of 30 and a direction of 40°. Another vector has a magnitude of 70 and a direction of 130°. What are the magnitude and direction of the resultant vector? Round the magnitude to the thousandths place and the direction to the nearest degree. a 69.504; 73° b 76.158; 73° c 69.504; 107° d 76.158; 107°Two vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively, and their directions are 304° and 76.0°, respectively, as measured counterclockwise from the positive x axis. What are the values of (a) r and (b) T x 3? (a) Number i -27.03 Units (b) Number i 30.02 UnitsGiven A = 5.00i + 4.00j, B = 3.00j – 7.00k. Find the vector C = 2A - B %3D %3D O + 4i – 10j – 7k O- 10j + 11k O 10i + 5j + 7k O + 8i + 7k O-7i - 8j + 14k 885 BBB 36 24 K
- Assume you have the following two vectors: A = 11.5i + 17.5j + 19.5k B = 4.9i + 9.5j - 1.1k Part (a) What is the x-component of the vector V = A × B? Part (b) What is the y-component of the vector V = A × B? Part (c) What is the z-component of the vector V = A × B? Part (d) What is the magnitude of the vector V = A × B?Y-COMPONENT MAGNITUDE DIRECT1ON -COM PONENT 3341 VECTOR 7.9 7.10 -3 40 16.00 1.10 6.40 -3.40 9.20 18.5 2.1 8.4 3014 319.3 -5:50 7.20 Ry: 8.0 115.3 4 SULTANT RVector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A dot B). The value of C is:
- Vector CC has a magnitude of 22.222.2 m and points in the −?‑−y‑direction. Vectors AA and BB both have positive ?‑y‑components, and make angles of α=43.9°α=43.9° and β=27.2°β=27.2° with the positive and negative ?-x-axis, respectively. If the vector sum A+B+C=0A+B+C=0, what are the magnitudes of AA and B?15Consider g=10Consider three vectors: What is the result of 2A. (B-3C)? What is the result of A A+B B + C. C? . A.A+B B+C . C = || A = (9.71) î+ (1.12) Ĵ B = (7.28) + (5.54); C = (-2.95) + (-14.7);