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1. Verify the commutative law for addition of vectors.
2. Show that the necessary and sufficient condition for two nonzero vectors Aand B to be perpendicular is that A · B = 0.
3. Prove that vectors obey the distributive law for the scalar product.
In a house the temperature at the surface of a window is 25 degreescelsius. The temperature outside at the window surface is 5.0degrees celsius. What is the temperature at the outside window surface
Indiana Jones is pushing back a 280 kg box of treasure which slides 4.0 m down a 34° incline and kept from accelerating. Calculate the work done by Jones on the treasure box
A 800 kg car pushes a 2000 kg truck that has a dead battery. What is the magnitude of the force of the truck on the car
airplane flight recorders must be able to survive catastrophic crashes. therefore they are typically encased in
A cylinder of gas is at room temperature (20°C). What is the new pressure of the gas relative to its initial pressure
A boat travels down the river from point A to point B in t1 = 3 h, and in the opposite direction in t2 = 6 h. How much time will it take for the boat to go from A to B with its engine turned off
A simple pendulum has a mass of 0.350 kg and a length of 7.00 m. It is displaced through an angle of 12.0° and then released, What is the maximum angular acceleration
X rays diffract from a crystal in which the spacing between atomic planes is 0.193nm . The second-order diffraction occurs at 42.0?
During a violent storm, a car is struck by a failing high-voltage wire that puts an excess charge of -850 mircoC on the metal car. how much is on the outer surface of the car
In lacrosse, a ball is thrown from a net on the end of a stick by rotating the stick and forearm about the elbow. What is the velocity of the ball
A parallel plate capacitor is attached to a battery that supplies a constant voltage. What happens to the energy stored in the capacitor
A piece of Nichrome wire passes a current of 0.933 A when a potential of 1.64 Volts is applied. What is the resistance of the wire
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