Forces of F = 220 N and F = 80 N act on the tooth of a spur gear. The forces are perpendicular to one another, but they are inclined by 20° relative to the a-y coordinates. Determine the magnitude and direction of their resultant. Use the vector algebra and vector polygon methods. Compare the answers from the two methods to verify the accuracy of your work. 20 (Express your answers using four and three significant figures, respectively.) R = N counterclockwise from i

Q: Find a unit vector in the direction of r=-5i +15j. Express your answer in terms of i and j. Give…

A: Let a vector  Then unit vector is given as follows

Q: a = 3i - j - 4k, b = 2i +4j - 2k, c = -i +6k a. 4a - b b. b * (c - a) c. ||a * b|| d. the angle…

A: Solution : Given, a=3i-j-4k b=2i+4j-2k c=-i+6k a.) 4a-b=4(3i-j-4k)+2i+4j-2k =14i-18k b.)…

Q: A plane’s bearing is S 33 E and is going 600mph. A 75 mph headwind is blowing in the direction N 76…

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Q: 1. Given the vectors = (2, -6) and 7 = (5, 5) , find %3D a. 37 -7 b. |7 + 7|

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Q: Please solve using the parallelogram method of vector addition. First step finding theta.

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Q: Find a unit vector in the direction of s=-3.91-5.2j. Express your answer as a decimal in terms of i…

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Q: Perform the following operations, given the following information about the vectors: Given u =,v = ,…

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Q: 3. Two forces F₁ and F2 push on an object with an angle of 70° between them. If |F f|F₁| = 170N and…

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Q: A piece of art weighing 40 pounds is hung from two wires as shown below. 19 wire 1901 wire artwork…

A: Weight of artwork = 40 poundsThe figure is shown as,Each wire is supporting half of the weight.The…

Q: Q2. A hook A is at (1 m, -2 m, 2 m). A force F = {-6î +9j+3k} N is exerted on the hook. Deterine the…

A: The two vectors , the angle between these two vectors can be obtained the given formula,