PROBLEM SET # 1: INTRODUCTION TO VECTOR ANALYSISOn the space provided, present correct and organized solutions to the following answeredproblems. Box the final answers. Detach each page neatly and submit to your instructor.1. A vector has an x component of -25.0 units and a y component of 40.0 units. Find thefollowing:(a) magnitude of vector(b) direction of vector

(a) The magnitude of vector is given by, r=x2+y2r=-25.02+40.02r=47.17

Answered: PROBLEM SET # 1: INTRODUCTION TO VECTOR…

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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In this lab you will be given some values for a vector and will need to determine the missing values. Then, you will test your answers using one of the force tables. All angles need to be in the range from 0 to 360°, where 0° points along the positive x-axis, 90° points along the positive y-axis, 180° points along the negative x-axis, and 270° points along the negative y-axis. For the vector -A, the negative of a vector is antiparallel to the vector itself. Ay Set 1a 1b. 1c 1d 2a 2b 2c 2d Sa 3a 3b 30 3c 3d 4a 4b 4c 4d Ax 30 37 -45 -50 85 100 -54 -90 32 -42 -25 48 -95 98 -74 83 Magnitude of A 43.86 45.97 200 124 121 139 ✔ X Angle of A 46.85 311.38 347⁰ 84⁰ 157⁰ 212° 212 25° 2 283⁰ cae AVV 139⁰ 262⁰ EVE 265⁰ 70° 324⁰ 103⁰ Angle of -A ✓ 。 226.85 ✔° 131.38 0 0 ✔ ✔ 0 0 a o B 2 P 0 O 0 0 0 Ⓒ O 0 0 rinn: therefore there are two possibilities. In these
a) 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.)
Chapter Exercise 1.39 - Enhanced - with Solution Given two vectors A =-2.00i+ 3.00 j+ 4.00k and B= 1.00i+ 2.00j- 3.00k, do the following. Part A You may want to review (Page). Find the magnitude of the vector A. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Using unit vectors. |A| = Submit Request Answer Part B Find the magnitude of the vector B. |B| = Submit Request Answer Part C Find the components of the vector difference A B %23
Let A= (3.0 m, 200south of east), B = (2.0 m, north), and C= (5.0 m, 700south of west). Draw and label A, B, and C with their tails at the origin. Use a coordinate system with the x-axis to the east. b. Write A, B, and C in component form, using unit vectors. c. Find the magnitude and the direction of D = A + B+ C.
Two vectors are defined in component form below. Use them to answer the following questions. Note: ,ŷ, and 2 are Cartesian unit vectors. H = -5ŷ + 42 G = -5x + 22 a) Determine A if A = H.G. b) If] = G., then which of the following is true? (Choose all that are true.) Briefly explain your reasoning. i. ii. A = -J A = J c) Determine C in component form if C = H x G. d) If K = G x A, then which of the following is true? (Choose all that are true.) Briefly explain your reasoning. i. C = -K ii. iii. iv. C = R K C. K = 0 |× K = 0
Let C = A + B. Vector C has a length of 5.00 cm and points north. Vector A has length 2.30 cm and a direction of 58.0 degrees north of east. (Let north = +y and east= +x).a) Draw a vector addition diagram showing C = A + B and label all 3 vectors. Use a straight edge and draw them to scale in cm if possible (you can estimate the angle).b) What is the magnitude of vector B? c) What is the angle of B in degrees west of north? d) Let D = C x A (vector product of C and A). What is the magnitude and direction of vector D?e) What angle (in degrees) does vector E= 2.00i+ 4.00j-3.00k make with the +y axis?
ladybug starts at the center of a 16.0 inin ..-diameter turntable and crawls in a straight radial line to the edge. While this is happening, the turntable turns through a 60.0 ∘∘ angle. Part A Find the magnitude of the ladybug's displacement vector Express your answer in inches Find the direction of the ladybug's displacement vector. Part B Please express your answer as an angle in degrees between the displacement vector and the initial direction of the motion.
2D Component Analysis For Vector Addition 2. Perform the following vector operations using component analysis. Recombine the components of the resultant to express the resultant vector in magnitude and direction form. Use the x/y coordinate axes below for your analysis. a) Ad, = 85.0 km [N36.0°W], N, +y Ad2 = 122.0 km [W15.0°S], %3D Adg = Ad, + Adz = ? %3D E, +x Ad, = 370.0 m [S18.0°W], Adr = ad, + Ad, + Ad, = ? b) Ad, = 250.0 m [E], Ad, = 560.0 m [E35.0°S], %3D
Lab 4: Vectors nitude of 8.4 km and points 2. Components of vectors. The vector in this problem is a velocity vector which starts at the origin, has a magnitude of 11 m/s and has a direction of 135 degrees (measured counter clockwise from the +x axis). a. Using the gridlines below (0.5 cm spacing), draw the vector. This time, choose your own scale factor. Record your scale factor below. Make sure your scale factor is large enough so that your vector takes up most of the space in the diagram. Use a protractor and ruler to make sure your vector has the correct magnitude and direction. b. Draw a dotted line from the tip of the vector to the x axis. Using a ruler, measure the the x component in cm, and use the scale factor to convert to m/s. boltol c. Draw a dotted line from the tip of the vector to the y axis. Using a ruler, measure the the y component, and use the scale factor to convert to m/s. 5
You first walk 10 meters at an angle of 30 degrees East of North. Then,you walk 15 meters at an angle of 45 degrees South of East. Assume that East is +x and North is+y, and assume you started at the origin (0,0). A. Make a graph with x- and y-axes and draw your path on that graph (to scale, or at least asclose as you can get). Start the first vector at the origin, and the second vector at the tip ofthe first vector. Then, draw the resultant vector (their sum). B. Break each part of the walk into their x- and y-components and then sum them to get thex- and y-components of the resultant vector. Make sure to include units and unit vectors. C. What is your displacement from where you originally started? D. If the whole walk took 40 seconds, then what was your average velocity
A vector has the components A, = 28 m and A, = 11 m. Part A What is the magnitude of this vector? Express your answer to two significant figures and include appropriate units. HÀ Value Units Submit Request Answer Part B What angle does this vector make with the positive a axis? Express your answer to two significant figures and include appropriate units. HA ? Value Units Submit Request Answer
Basics Assignment: Q1. The following vectors involved in the problem are shown in Fig. 1, Find A+B (a) the direction of vector A from its components and calculate its magnitude (b) the direction ofB from its components and its unknown magnitude (c) the components of A+B, its direction, and magnitude. 2.0 m \5.0 m. 2.0 m Figure 1:Ýectors plotted. Q2. A vector Involved In the problem is shown In Flg. 2 Find the x, y, and z components of the force 45N shown below. Figure 2: Vector Illustration. 4N

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