Cross or Vector Product of Two Vectors
is defined to be perpendicular to the plane containing . To understand the direction of the vector , let us refer to the figure. Imagine rotating a right handed screw whose axis is perpendicular to the plane formed by a and b so as to twist it from a to b through the angle p between them...
Cross Product or Vector Product of Two Vectors
. To understand the direction of the vector , let us refer to the figure. Imagine rotating a right handed screw whose axis is perpendicular to the plane formed by a and b so as to twist it from a to b through the angle p between them. Then the direction of advance of the screw gives the di..
. To understand the direction of the vector , let us refer to the figure. Imagine rotating a right handed screw whose axis is perpendicular to the plane formed by a and b so as to twist it from a to b through the angle p between them. Then the direction of advance of the screw gives the di..Dot Product of Vectors and the Resolution of a Vector
It was mentioned earlier that, displacement vectors are added to displacement vectors, or velocity vectors are added to velocity vectors. Just as it is meaningless to add scalar quantities of different kinds, such as mass and temperature, so also it is ..
Properties of cross-product of vectors
Extending this to unit vectors, ..
Extending this to unit vectors, ..Product Rule for Differentiation
'Derivative of the product of two functions = first function x derivative of second function + second function x derivative of first function..
Vectors - Introduction
>Similarly, by referring to the figure belo..
>Similarly, by referring to the figure belo..Multiplication Rule of Probability
Events are said to be independent if the occurrence of one event does not affect the occurrence of others. If A and B are two independent events, then This is known as Multiplication Rule of Probability . The converse is also true, that is if two events A and B asso..
Events are said to be independent if the occurrence of one event does not affect the occurrence of others. If A and B are two independent events, then This is known as Multiplication Rule of Probability . The converse is also true, that is if two events A and B asso..Sign Convention in Applying Kirchhoff's Rules
The emf of a cell is positive when one moves in the direction of increasing potential (i.e., negative pole to positive pole) through the cell and is negative when one moves from positive to negativ..
The emf of a cell is positive when one moves in the direction of increasing potential (i.e., negative pole to positive pole) through the cell and is negative when one moves from positive to negativ..Rules for Writing Equilibrium Constant Expressions
Expression for the equilibrium constant of a reaction is written in the form of a ratio. The numerator consists of the molar concentration (or partial pressure) terms of the products each raised to a power equal to its stoichiometric coefficient in the balanced chemical equation, and th..
Expression for the equilibrium constant of a reaction is written in the form of a ratio. The numerator consists of the molar concentration (or partial pressure) terms of the products each raised to a power equal to its stoichiometric coefficient in the balanced chemical equation, and th..Which of the following is the dot product of the vectors u = <u1, u..
Which of the following is the dot product of the vectors u = < u 1 , u 2 > and v = < v 1 , v 2 >? => u 1 v 1 - u 2 v 2 or u 1 u 2 + v 1 v 2 or u 1 v 2 + u 2 v 1 or u 1 v 1 + u 2 v 2..
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