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Scalar and Vector Operations

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

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

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 prob

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.

Finding the vector sum of three forces

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 of resultant. Draw a

Vector Quantities

Please show step-by-step procedure with answers. This is the way I learn by seeing everything done with details, etc. Thanks. There are three attachments.

Vector Magnitudes

Please give step by step explanations with answers so I can learn. There are 3 attachments with 1 diagram and then problems.

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

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

Vectors

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

Vector notation

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

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.

Vectors: A hunter aims directly at a target; by how much will he miss the target?

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

"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

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?

Center of Mass

Determine the position of the center of mass of a solid triangular pyramid with vertices at (0; 0; 0), (1; 0; 0), (1; 1; 0), and (1; 1; 2).

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.