Into which quadrant do each of thefollowing vectors point?yQuadrant II90° < 0< 180°Quadrant I0"<0<90°Quadrant III180° <0<270° 270° < 0< 360°Quadrant IVa) A=(A, A,) with A, =1.5 cm,A,3-1.0cm%3D||b) a vector with length 2.3 cm anddirectión angle 131°c) the inverse vector of B=(0.5 cm,1.0 cm)d) the sum of the unit vectors in theX- and y-directions*.... ..* * ,...

Questions based on vectors and quadrant system

Answered: Into which quadrant do each of the…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Find the magnitude and direction of vectors represented by the following pair of components (a)A, 2.3 cm, A, +4.1 cm (b) A, +3.9 m, A,-1.8 m ((a)A-4.7 and 0, -119.3 (b)A=4.3 and 0, 335.2") %3D
2
Complete the table below: Vector 1 Vector 2 Vector 3 Vector 4 Vector 5 Vector 6 x-component 15m 2cm 5N 3lbf 2cm 3mm y-component Magnitude 100N 25m 5lbf Direction 30° W of N 40° s of E NE Solve what is asked: 1. What is the resultant of Vectors 1, 3 and 5? 2. What is the Vector 4 – Vector 2 + Vector 6? 3. If Vector 7 is 3i + 4j, then what is Vector 3 + Vector 7? 4. If Vector 7 is 3i + 4j, then what is Vector 6 - Vector 7?
3.) Consider vectors A and B : Ā: | - = 10, 30° East of North B = -4î + 3ĵ Note: Here we assume that North and East are along the positive y- and x- axes, respectively. ++ N y a.) Plot the vectors Á and B separately. b.) Plot the vector Ã + B, using its components. c.) Plot the vector Ã + B using vectors Ã and B, i.e., using the graphical method (join the tail of B with the head of Ã and draw a vector from the tail of A to the head of B) d.) Solve for |Ã + B]. e.) Solve for |Ã –- B|. Bonus 2: Solve for the unit vectors Â and ß. Recall that unit vectors Â and ß both have lengths of 1 and that their directions are along Á and B, respectively.
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4. Three vectors are shown in the figure below (not drawn to scale). If |Ã = 12 units, B = 15 units, C = 16 units, 0₁ = 40°, and 0₂ = 30°, determine the magnitude and direction of A. The resultant of the three vectors B. A-2B + 3C y K 0₂ 0₂₁₂ 100 X
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37. Go The components of vector A are A, and A, (both positive), and the angle that it makes with respect to the positive x axis is 0. Find the angle 0 if the components of the displacement vector A are (a) A, = 12 m and A, = 12 m, (b) A, = 17 m and A, = 12 m, and (c) A, = 12 m and A, = 17 m. %3D
y 'n 0, > X Us What is the resultant magnitude vectors if: U1 = 39 meters at 45 degrees u2 = 56 meters at 67 degrees above the -x axis %3D u3 = 39 meters at 45 degrees east of south %3D Give your answer as a whole number of meters (no decimal places).
3. Your pet cat is playing around in the living room and performs the following displacements: 80 cm north, 55 cm east, and then 60 cm at 30° south of east. Determine the magnitude and direction of the fourth displacement of your cat if A. She is to arrive at her initial location. B. Her resultant displacement is 20 cm at 75° south of west from her initial location.
6. Three displacement vectors of a croquet ball are shown in the figure below, where |Ã| m, |B| = 40.0 m, |Č| = = 20.0 30.0 m. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Express the direction in terms of the angle relative to the positive x axis. y B 45.0° x 45.0°
1. In a two-dimensional plane, vector A is 3 meters due east and vector B is 5 meters, due 36.87 degrees West of South. Find the components of vector C if the sum of all three vectors is zero. a. x-component: b. y-component: m E E

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