n dimensional vectors


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Which solid can be represented as a three dimensional picture using th..
Which solid can be represented as a three dimensional picture using the figure and vector? => pyramid or sphere or cylinder or circle..
Position vector
two dimension position vector . In addition to this, the direction of the position vector gives the direction q in which P lies, as observed from 0. It is important to note that position vectors are different for different positions of the particle. The above explanation can be extended to a three dimen..
The figure M'N'O'P' is the image of MNOP. Describe the vector by using..
The figure M'N'O'P' is the image of MNOP. Describe the vector by using ordered pair notation. =><7, 7> or <- 3, - 7> or <7, 5> or <3, 7>..
Generalisation to N - Particles
According to Newton's third law, For any a t h particle Substituting a = 1, 2,.. N. We have N equations. Adding them all, The position vector of the centre of mass of the whole system is given by, Where M = m 1 +m 2 +-------m N..
MOTION AND FORCES
Problems involving constant speed and average speed Newton's First Law of Motion Newton's Second Law of Motion Newton's Third Law of Motion Universal Law of Gravitation Effect of gravity on an object at the surface of the Earth Applying a force to an object perpendicular to the direct..
MOTION AND FORCES
Problems involving constant speed and average speed Newton's First Law of Motion Newton's Second Law of Motion Newton's Third Law of Motion Universal Law of Gravitation Effect of gravity on an object at the surface of the Earth Applying a force to an object perpendicular to the direct..
Zeolites - Shape-Selective Catalysis by Zeolites
Shape-selective catalysis are those reactions that depend on the pore structure of the catalyst and the size of the reactant and product molecules. In such reactions, zeolites are used as catalysts. Zeolites are microporous aluminosilicates of the general formula M x / n [(AlO 2 ..
The Superposition Principle
superposition principle of electric forces The principle states that when a number of charges are interacting , the resultant force on a particular charge is given by the vector sum of the forces produced by the individual charges. If several point charges q 1 , q 2 , q 3 .............. q n simultaneously exert ele..
Summary (Contd..)
Superposition principle >- A surface touching these secondary wavelets tangentially in forward direction at any instant gives the new (secondary) wave front at that instant. Using Huygenss principle, we can prove the laws of reflection and the laws of refraction on the basis of the wave theory. Superposition principle say..
Atomic Orbitals
It represents a three dimensional motion a an electron around the nucleus The position as well as the momentum can be known with certainty in a orbit The uncertainity principle holds good with respect to position and velocity. An orbital has the concept of most probable regions..
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