For vectors A and B below, sketch R = Ã+B using the parallelogram method. The result should agree with intuition! 1. QS Could the parallelogram method be used to add four vectors (in one step)? Yes/No
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A: The given vectors are: u→=-320-32, v→=-3222-12
Q: The magnitude of C is:
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Q: 3) Determine ÷ B. 4) What is the angle between the two vectors A and B?
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A: Polygon Method Resultant R is 11 N
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Q: can you help me determine the coordinate direction angles of FR?
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Q: Part (f) Find the following vector product ĵ x B.
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Q: d, = 35 m, 25° W of N d2 = 50 m, 65°N of E d3 = 100 m, 52º S of W
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Q: Part (c) Find the following vector product Dx T.
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Q: Add each component Vectors to find a Resultant Vecto 1. 2. R. R. 3. 4. R. 6. R. 7. 8. 5.
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Q: Prove that Vector addition is commutative through the Parallelogram Law of Vectors. Explain.
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- True or False 1. A force vector can be resolved into infinitely many force components. 2. A 50N force directed 69° N of W is equal to -50N force directed 21° E of S. 3. In a force system with two vectors, force A is completely known while only the line of action of force B is known. The resultant R of A+B is minimum if and only if R is perpendicular to B. 4. Vector addition is commutative. They can be added in any order. 5. Two vectors are considered equal as long as they have the same magnitude.The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗ F. In ordered pair notation, write down the components of vector D G.What is true about B⃗ and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.Part B Evaluate the dot product A- B it A = -8i + 45 and B- 92 +73.
- Problem 2 Vectors A and B have magnitudes 4 and 2, respectively. The dot product A· B is 4. What is the magnitude of the cross product A x B? Give your answer to 3 significant figures.Find the angle 6 (in radians) between the vectors u and o below. 3. u= V2 Give exact expressions for all of your answers. Use the square root symbol 'V where needed to give an exact value for your answer. Be sure to include parentheses'where necessary, e g. to distinguish 1/(2k) from 1/2k. a) First find the dot product of u and o 0=2.2 b) Now compute the cosine of 0 cos(0)=0 c) Finally, find e. 030a) Express ?⃗ in component form. (Recall: Draw ?⃗ with unit vector x, unit vector y, unit vector z at its tail.) Determine the angles ?,?, and ?. Plug into the generic expression for a vector in component form. b) Express ?⃗ in component form. (Recall: Draw ?⃗ with unit vector ?, unit vector y, unit vector z placed at its tail.) Determine the angles ?,?, and ?. Plug into the generic expression for a vector in component form.)
- Two vectors in Cartesian coordinates have components A = (3, 3, 1) and B = (4, 2, 5). 1. What is the length of the vector A? 2. What is the length of the vector B? 3. What is the angle, in degrees, between A and B?1. If you used only a keyboard to enter data, how many years would it take to fill up the hard drive in a computer that can store 1.0 terabytes of data? Assume 40-hour work weeks, and that you can type 180 characters per minute, and that one byte is one keyboard character. 2. A.) Find the scalar dot product and the angle between the vectors B.) Find the Vector cross product of AxB A = 2.00i + 3.00j + 1.00k B = -4.00i + 2.00j – 1.00kThe cross product AxB is perpendicular to both vectors in the cross product (think of Aand В as lying on a sheet of paper; the cross product is perpendicular to the plane of the sheet). After figuring out the two directions perpendicular to both vectors you use one of the right hand rules given on Page 338 to choose which of the two direction is correct. All three should give the same result so use whichever one you are most comfortable with. In class, we will use the middle one in the diagram in the book. The vector torque is where "is the vector from the axis of rotation to where the force is applied. Which is the direction of the torque vector? +y ++ * (in) +z (out) O = in (O) = out
- Moving to another question will save this response. Question 6 Given two vectors A = 7i+ 5j - 2k, and B = 3i – 10j + 6k, what is the angle between the two vectors? O A. 112.7° B. 116.3° O C. 118 4° O D. 115° O E. None of these Moving to another question will save this response.EXPLAIN EACH LETTER Question 1.1: Calculate the dot product of vectors A and B, where |A-5 and |B|=3. A A A A B B a. b. d. с.Solve for the required using the given vectorsA = 3i – 8j + 6k B = 4 j + 9k – 5i C = 7k a. (A x B) x C b. (B x C) . A