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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
Two waves with identical frequency but different amplitudes A1 = 6.0 cm and A2 = 3.0 cm, occupy the same region of space (are superimposed). What is the amplitude of the resulting wave in that case
Calculate the thermal broadening for a Ca II K line at 3933 A, given stellar photospheric temperatures of 3000,6000 and 9000K. Interpret the results and discuss the effect of temperature on this line profile.
Atmospheric pressure is half its sea-level value at analtitude of. Weather phenomena such as clouds and storms are found in the, Average atmospheric pressure does not correspond to,
A square, single turn coil 0.20m on a side is placed with its plane perpendicular to a constant magnetic field. An emf of 18mV is induced in the coil winding as the area of the coil decreases at the rate of 0.10m2/S. What is the magnitude of the m..
If Coulomb's equation is correct, what should be the measured value for the scaling exponent
your car key has fallen to the bottom of a clear pool of water n 1.33 with a uniform depth of 3.0 m. you are standing
A box is separated by a partition into two parts of equal volume. On average, how many molecules of oxygen will there be in either half of the box
On a cloudless day, the sunlight that reaches the surface of the earth has an intensity of about 1.5 × 103 W/m2. What is the electromagnetic energy contained in 5.0 m3 of space
The inductance of a closely wound coil is such that an emf of3.0 mV is induced when the current changes at the rate of4.6 A/s. How many turns does the coil have
In a double-slit experiment the distance among slits is5.4 mm and the slits are 1.6 m from the screen. Two interference patterns can be seen on the screen: one due to light with wavelength 450 nm, and the other due to light by wavelength 655 nm.
A bullet of mass mB = 0.0149 kg is moving with a speed of 102 m/s when it collides with a rod of mass mR = 7.85 kg and length L= 1.08 m, How much kinetic energy is lost in the collision
If the coefficient of friction between road and tires on a rainy day is 0.100, what is the minimum distance in which the car will stop?
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