what are scalar and vector quantity?
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A scalar quantity is one which gives only the magnitude of a factor.\nThus, "5 Kms." is a scalar because it just gives the magnitude.\nA vector quantity is one which gives, apart from the magnitude, the direction also.\nThus "5 Kms. to the East" is vector because it gives both the magnitude and direction.
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You use derivatives to compute how values are changing. A good example is to compute velocities.\n\nIntegration is used to compute areas and volumes.
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the buoyancy of the object and its volume.
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When dealing with simple shapes, an area is spanned up by two vectors. The area shape will have a normal vector indicating how it is oriented in space, resulting from the cross product of the two linear vectors with the length indicating the area units.
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No, it's an independant variable (in the sense that it's not a linear combination of other variables such as length, mass, or charge) and, since it's linearly independant, it can be used as a dimension (or one of the spanning vectors) in a vector space.\n\n\nDoug
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Fundamental quantities are those used to derive other quantities.\n\nExamples are the Meter, Gram, and Liter and second.  These derive most other quantities of measure.  Learning those derivations will save you life in physics.\n\nExample of a derived quantity is the Newton which is the quantity of force.  A newton is a kg m/second squared.  How do we get this?  The equation for force is F=ma which is Force is the mass times the acceleration.  Accelaration is also a derived quantity.  It is the velocity change over time.  Velocity is also a derived quantity. It is the change in distance over time.  Therefore \n\nF=m s/t/t  mass is a base (kilograms) distance is a base (meters) and time is a base (seconds).\n\nHave fun.
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KE = mv\nWrong: energy <> momentum\n\n2y = (2 m)cos(kx)\nRight: a lenght =  lenghth x a number between -1 and +1\n\nvf = vi + ax\nWrong: x should be t\n\ndensity = volume/mass\nWrong: fraction should be inverse
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Above answers are right on. Here are some examples.\nVelocity is vectoral. It has both speed and direction implied.\nWhereas temperature is purley scalar, only quantity implied.\nOther examples of vectoral quantities are acceleration ,\nmomentum and force. Other scalar examples are energy,\nmass,volume and area.
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Let's start with an example of a vector space. An example is a plane. If we take any two points (we can make them vectors by drawing the points through the origin) in the plane and add them, the result will still be in the plane. If we take any scalar multiple of a vector in the plane, the result will still be in the plane. In fact, the resulting vector will be parallel to the original vector. \n\nIt's these two properties that make a vector space a vector space. In fact, what I said about the plane holds for any n-dimensional (n is any whole number that can be imagined) space. Further generalizations can be made to other examples that satisfy the addition and scalar multiplication properties mentioned above. But staying in the same space when adding or multiplying by a scalar are the key properties of a vector space.
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change in displacement with respect to time. Displacement is the vector counterpart of distance, having both magnitude and direction. Velocity is therefore also a vector quantity. The magnitude of velocity is known as the speed of a body. The average velocity or average speed of.
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Seems more like a vector analysis question to me.
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you should try to learn reading any book about vector analysis.\nSomething about vectors:\nhttp://mathworld.wolfram.com/topics/VectorAlgebra.html
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1) distance is measured in a particular direction. the vector woudl be displacement\n\n2) speed assumes a direction, vector would be velocity\n\n3) power is a unit of energy work\n\n4) force is a vector as you need to say how hard and which way
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I will start with vectors. \nVectors is a reference or imaginable system that is used in 2-D or 3-D systems. To understand vectors, you have to use your imagination. Imagine you have to construct a standing huge triagle  (100ft-legx200ft-leg);  the origin will be (0,0) , it will extend 100ft , and the height 200ft. \n\nsince the diagonal is slant, both vertical and horizontal  directions will contribute to the diagonal. so to describe this contribution, we have to say 100ft to the left ( horizontally ) and 200ft  to the top ( vertically). \n\nIn the same way, we say that but in x-direction or y-driection \n\ntranslation is as the name suggests translates (move-motion). so if you got what is vectors, translation is mathematical way to move vectors. \n\nso if you need to move a vector, you would need to know if it shift, reflects, etc... \n\nTo understand translation, you have to know that vectors do not just represent geometry but vector represent physical forces. so if you put force ( push) on the table and you make move. you have translated the force from your hand to the table.
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The Killing vectors of a given spacetime metric come from symmetries of the metric; that is, a Killing vector points along a direction in which the metric does not change.\n\nOne "basic result" is that the scalar product of a Killing vector with the 4-velocity of an object travelling a geodesic is conserved along that geodesic.
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The density of the fluid and the density of the object.
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Momentum refers to the quantity of the motion that the object have.....It is mainly " MASS IN MOTION "..It depends on mass and velocity....momentum = mass * velocity...or momentum(P) = mass(M) * velocity(V)....Its is a vector quantity...