Function intersect #

Calculates the point of intersection of two lines in two or three dimensions and of a line and a plane in three dimensions. The inputs are in the form of arrays or 1 dimensional matrices. The line intersection functions return null if the lines do not meet.

Note: Fill the plane coefficients as x + y + z = c and not as x + y + z + c = 0.

Syntax #

math.intersect(endPoint1Line1, endPoint2Line1, endPoint1Line2, endPoint2Line2)
math.intersect(endPoint1, endPoint2, planeCoefficients)

Parameters #

Parameter Type Description
w Array | Matrix Co-ordinates of first end-point of first line
x Array | Matrix Co-ordinates of second end-point of first line
y Array | Matrix Co-ordinates of first end-point of second line OR Co-efficients of the plane’s equation
z Array | Matrix Co-ordinates of second end-point of second line OR null if the calculation is for line and plane

Returns #

Type Description
Array Returns the point of intersection of lines/lines-planes

Examples #

math.intersect([0, 0], [10, 10], [10, 0], [0, 10]);              // Returns [5, 5]
math.intersect([0, 0, 0], [10, 10, 0], [10, 0, 0], [0, 10, 0]);  // Returns [5, 5, 0]
math.intersect([1, 0, 1],  [4, -2, 2], [1, 1, 1, 6]);            // Returns [7, -4, 3]
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