Generally the x-axis is displayed on a 2-dimensional Cartesian Coordinate system running horizontally (left to right - for negative to positive values of x)
In a 3-D graph, the x-axis is usually shown running diagonally from upper right to lower left (for negative to positive values of x) . In a 3-D graph, the y-axis is the one running horizontally and the z-axis is vertical.
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You measure the change in the vertical direction (rise) per unit change in the horizontal direction (run). The rate of change is constant between A and B if AB is a straight line. Take any two points, A = (xa, ya) and B = (xb, yb) then the average rate of change, between A and B = (yb- ya)/(xb- xa).
A ray is infinite in only one direction.
The "steepness" of a line is called the slope. The slope represents the the amount of change in the y-direction of the line per every change in the x-direction. This is represented mathematically by slope = Δy/Δx Δy is also called the "rise" and Δx is also called the "run". The steepness can also be called the gradient, which is represented by an angle. The gradient can be calculated from the slope by using the formula gradient = tan(slope).
The cross product of two vectors is defined as a × b sinθn Where the direction of Cross product is given by the right hand rule of cross product. According to which stretch the forefinger of the right hand in the direction of a and the middle finger in the direction of b. Then, the vector n is coming out of the thumb will represent the direction. As direction of a × b is not same to b × a. So it does not obey commutative law.
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