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In science and technology, vectors provide a simple model for visualizing difficult concepts such as force, velocity, and electric fields. Vectors are essential for creating the amazing computer graphics we see today. Dot product of vectors is an operation on vectors. Some of the applications of the dot product are in solar energy, physics, and computer graphics. A few specific examples are:
Measuring rainfall
Finding the braking load of a car when rolling down a hill at an angle Finding the force required to hold a wagon on a hill Finding the ramp angle to load furniture or other articles into a truck Air navigation-finding ground speed and direction of an airplane in the wind Finding speed and direction of a swimmer when swimming in a river with current You are required to:
Describe a real-life application in which the dot product of vector is used. State to which branch of science/engineering this application belongs.
Write the question posed in the application that needs to be solved. Execute the dot product to solve the question posed. Participation
What is fraction of the diameter of the Sun
A series LRC circuit consists of a 12.0-mH inductor, a 15.0-µF capacitor, a resistor, and a 110-V (rms) ac voltage source. what is its impedance at a frequency twice the resonance frequency
A person pushes a 14.0-kg lawn mower at constant speed with a force of F=88.0 N directed along the handle which is at an angle of 45.0 degrees to the horizontal. Calculate the kinetic friction coefficent
a catapult launches a test rocket vertically upward from a well giving the rocket an initial speed of 80.2 ms at ground
Two window washers, Bob and Joe, are on a 3.00 m long, 405 N scaffold supported by two cables attached to its ends. what are the forces on each cable
A uniformly charged ring of radius 10.2 cm has a charge of 87.5 µC. Find the electric field on the axis of the ring at x = 3.0 cm
Suppose you carry a bag of groceries weighing 103 N from your car to your kitchen, a distance of 53 m, without raising or lowering the bag. What is the work done by the force you exert on the bag
A 220, 45.0-cm-diameter turntable rotates on frictionless bearings at 55. A 21.0 block sits at the center of the turntable. A compressed spring shoots block radically outward along a frictionless groove in the surface of the turntable.
In an eye that is farsighted, the eye focuses parallel rays so that the image would form behind the retina. In an eye that is nearsighted, the image is formed in front of the retina.
A 6.4 cm diameter pipe gradually narrows to 4.0 cm. When water flows through this pipe at a certain rate, What is the volume rate of flow
An LCR circuit contains a resistor with R =4200 Ω, a capacitor withC = 6000 µF, and aninductor with L = 2.0 mH, allconnected in series. The AC source has a frequency of 75 kHz.
a 2.1mm -diameter glass bead is positively charged. the potential difference between a point 2.5mm from the bead and a
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