Friday, October 30, 2015

Vector & scalar

There is a difference between vector and scalar ..
A scalar quantity is a one dimensional measurement of a quantity, like temperature, or weight.  A vector has more than one number with it.   A simple example is velocity.   You can have more that two numbers associated with a vector.  For example you can add a height dimension to velocity and say, for example, ' I am going uphill at a 5 degree slope in the Northeast direction'.    Vectors are frequently broken down into their components along an orthogonal coordinate system, like the x and y axes.   So you can say the y-component of my speed is 3 km/sec and the x-component of my speed is 4 km/sec.   The magnitude, or speed is the square root of the sum of the individual components, 5 in this case.  The direction with respect to the x-axis would be given by the arctangent of V/ Vx or 36.9 degrees.

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