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    Scalar and Vector Operations

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    Vector Addition and Subtraction

    Draw a scaled diagram of a vector of magnitude 100cm at 30 degrees above the horizontal and use trigonometry to determine its x and y components.

    Determining the sum of vectors

    Please see attached file for the diagram. Three vectors are shown in Fig. 3-41 (A = 66.0, O = 52.0 degrees). Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. (a) Give the resultant in terms of components. Rx = ? Ry = ? (b) What is the magnitude of the resultant? What is the res

    Extremal paths.

    Consider the action for a particle in a potential U. a. Show that an extremal path is never that of a local maximum for the action. ("Local" means relative to nearby paths). b. Find an example in which an extremal path is that of a local minimum for the action. c. Find an example in which an extremal path is not that of a

    Vectors Magnitudes and Angles

    1) Both vectors A and B have a magnitude 5 and the angle between them is 53.13 degrees. Calculate the magnitude of A+B. 2) The diagram shows vector C. Determine the X and Y components of C. see attached file for details

    Simple Vector Addition

    What is the resultant displacement if we follow these directions? 75.0 m N 95.0 m at 18.0 degrees N of E 65.0 m at 34.0 Degrees W of N 25.0 m SW 20.0 m E

    Evaluating quantities of vectors

    Two vectors are given by A = -3i + 7j -4k and B = 6i -10j + 9k. Evaluate the quantities: a) cos^-1 [A.B/AB] ( the . between the A.B is a dot product) b) sin^-1 [ |A x B|/AB] c) Which gives the angle between the vectors. I haven't a clue as to what to do with this problem. Do I use the cross products of unit vectors t

    Vector Dot Product Calculations

    Vector Dot Product Let vectors , , and . Calculate the following: A. = Answer not displayed C. = Answer not displayed E. = Answer not displayed G. = Answer not displayed H. Express your answer numerically in radians, to three significant figures. Angle between and = Answer not displaye

    Find the Vector Sum

    Three vectors have the same magnitude of 14 units. They make angles of t, 2t, and 3t with respect to the x axis, where t = 20 degrees. What is their vector sum?

    Vector Problems Solved

    On the problem, or any problem how do you know which x or y vector to draw first and which or where to get your angles. Where put theta? Please explain and help any way you can simple enough for me to understand.

    Vector Additions - Analytically and Graphically

    See the attached file. Finding the vector sum of three forces 1) Experimental method: Use F1 of 160g at 280 degrees, F2 of 105 grams at 60 degrees and F3 of 75g at 15 degrees counter clockwise from the +y axis. Determine the equilibriant and the resultant of the three vectors experimentally. Record magnitude and direction

    Vectors and magnitude

    Please give the solution and step by step instructions on how to do these. I learn by examples. 1) Vector A has a magnitude of 10. Vector B has a magnitude of 7. The magnitude of the vector sum of A and B is 17 3 -3 between 17 and -3 none of these 2) To find magnitude of a vector calc the sum of its components

    Calculating magnitude of a vector and height

    If A = (12i - 16j) and B = (-24i+10j), what is the magnitude of the vector C=(2A-B)? Answers: a) 42 b) 22 c) 64 d) 90 An archer shoots an arrow with a velocity of 45 m/s at an angle of 50 degrees with the horizontal. What is the height of the arrow at a point 150 meters downrange? Answers: a) 4.7 m b) 47.0 m c) 5

    Calculating Displacement in a Yacht Race

    Question: In a yacht race the boats sail around three buoys. What is the displacement from the last buoy to the starting point? (a) unit vector notation (b) magnitude and direction? From the origin to Buoy #1 is R1, From Buoy #1 to Buoy #2 is R2, (30 degrees clockwise from R1) From Buoy #2 to Buoy #3 is R3. (120 degree

    Angle between two vectors

    The vector A has a magnitude of 6m and vector B has magnitude of 4 m. That is the angle between them if the magnitude of the resultant is (a) 3m (b) 8m? Let vector A lie along the x-axis. Do each part graphically and by components.

    Proving Vector Functions

    Prove that S*(PxQ) = P*(QxS) where * is dot product and x is cross product if S=Sxi+Syj+Szk P=Pxi+Pyj+Pzk Q=Qxi+Qyj+Qzk

    Vector Components

    In 1992, Akira Matsushima, from Japan, rode a unicycle across the United States, covering about 4800 km in six weeks. Suppose that, during that trip, he had to find his way through a city with plenty of one way streets. In the city center, Matsushima had to travel in sequence 280 m north, 220 m east, 360 m north, 300 m west, 1

    Different Vector Notation Magnitudes and Direction

    A) Vector E has a magnitude of 17.0 cm and is directed 27.0 degrees counterclockwise from the +x axis. Express it in unit vector notation. b) Vector F has a magnitude of 17.0 cm and is directed 27.0 degrees counterclockwise from the +y axis. Express it in unit vector notation. c) Vector G has a magnitude of 17.0 cm and is dire

    Vector Analysis - Spiderweb

    A spider is resting after starting to spin its web. The gravitational force on the spider is 0.150 Newton down. The spider is supported by different tension forces in the two strands above it, so that the resultant vector force on the spider is zero. The two strands are perpendicular to each other, so the x and y directions h

    Electric force on an electron

    What is the electric force (with direction) on an electron in a uniform electric field of strength 2780 N/C that points due east? Take the positive direction to be east.

    Mass and cord tension of mass on a frictionless plane

    A block with unknown mass M is held stationary on a frictionless plane inclined at angle b= 30 degrees, by a cord attached to the ceiling. The angle between cord and ceiling is angle a=50 degrees. The normal force exerted on the block by the plane is N= 74 nt. SEE ATTACHMENT #1 for arrangement. Part a. On the diaqram shown as

    A hunter aims directly at a target; by how much will he miss

    A hunter aims directly at a target (on the same level) 103 m away. If the bullet leaves the gun at a speed of 255 m/s, by how much will it miss the target? I'm assuming that the bullet will miss the target because it arcs down toward the ground as it moves horizontally. But don't I need to know how far off the ground it is in

    Subtracting Vectors Lengths

    "The figure below (please see attached Word file) shows three vectors of lengths A = 67.8, B = 39.5, and C = 47.0. The angles are theta(a) = 28.8° and theta(b) = 54.5°, and C points along the negative y-axis. Determine the length of the vector A - C." The book indicates that the equation for subtraction of vectors is si

    Resultant displacement for girl delivering newspapers

    A girl delivering newspapers travels three blocks west, four blocks north, then six blocks east. What is her resultant displacement? Please show how to complete this problem with a free body diagram, formulas, work with units and answer.

    Components of a vector and unit vectors

    While exploring a cave a woman starts at the entrance and moves the following distances. She goes 75.0m north,250m east, 125m @an angle of 30 degrees north of east and 150m south. Find the resultant displacement from the cave entrance.

    Components of a vector for a golfer on the green

    A golfer on the green takes three strokes to sink the ball. The successive diplacements are 4.00m to the north, 2.00m north east and 1.00m at 30 degrees west of south. Starting at the same initial point, an expert golfer could make the hole in what single-displacement?

    Simple problem to become familiar with vectors.

    Two vectors A and B have the same length A and are at right angles. What is the length of the vector A + 2B? Questions are taken from the course book 'Physics with modern physics', Richard Wolfson & J. M. Pasachoff, Questions taken from course book pp 60 - 63 Two vectors have the same length A and are at right angles. Wh

    Getting used to Vectors with this Problem.

    Three vectors have the same length (L) and form an equilateral triangle. Find the magnitude and direction of the vectors: (a)A+B (b)A-B (c)A+B+C (d)A+B-C. Please see attachment below for figure.