Parametric equation refers to the set of equations which defines the qualities as functions of one or more independent variables, called as parameters. For instance, three non-collinear points a, b and c in a plane, then the parametric form (x) every point x can be written as x = c +m (a-b) + n (c-b). The simple parametric equation of a plane calculator is used to calculate the parametric form of a plane based on the point coordinates and the real numbers.
Parametric equation refers to the set of equations which defines the qualities as functions of one or more independent variables, called as parameters. For instance, three non-collinear points a, b and c in a plane, then the parametric form (x) every point x can be written as x = c +m (a-b) + n (c-b). The simple parametric equation of a plane calculator is used to calculate the parametric form of a plane based on the point coordinates and the real numbers.
x = x1 + (a1*s) + (a2*t)
y = y1 + (b1*s) + (b2*t)
z = z1 + (c1*s) + (c2*t)
Where,
x,y,z = Coordinates
a1,b1,c1 = Vector
a2,b2,c2 = Vector
x1,y1,z1 = Points of Coordinates
s,t = Real NumberFind the parametric equation of a plane if (x1, y1, z1) is (1,2,3) and (a1, b1, c1) is (3,4,5) and (a2, b2, c2) is (3,2,1) and s, t values are 7 and 9.
x = x1 + (a1*s) + (a2*t)
= 1 + (3 x 7) + (3 x 9)
= 49
y = y1 + (b1*s) + (b2*t)
= 2 + (4 x 7) + (2 x 9)
= 48
z = z1 + (c1*s) + (c2*t)
= 1 + (5 x 7) + (1 x 9)
= 47
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