Algebra/Geomerty project

Algebra and Geometry Project
Student’s Name
Institutional Affiliation
The OSIS number given is 2ABCDEFGH which is a nine-digit combination. The digits used include the ABCDEFGH. The combination of the data is as shown below:
OSIS # 215325267, 2AB = 215, CDE= 325, FGH = 267
The initial position of the ship Tiger = (0, 325)
Position of ship lion = (267, 0)
Position 2 of the Tiger = (215257, 0)
Position 2 of the Lion = (0, 325215)
Eagle follows the Tiger’s route in one hour
The point of intersection of the path of the ships
The equation of Tiger path =gradient= 0-325215257-0=0.0015. The gradient is given by the ratio of change in y and the change in x coordinates (Beardon 2005).
y-325x-0=0.0015, y=0.0015x+325
The parametric equations for the two lines intersecting are given by the equation below
x=x0+α.C
y=y0+β.C
x+x2-x1.C= y2+y1-y2.C
y+y2-y.C= x2+x1-x.C
The equation of Lion path = 325215-00-267=1218, y-0x-267=1218, Equation 2 is given by y=1218x-325215Combine the two equation to come up with the intersection point
By use of elimination method, the value of x and y coordinates are given as (267, 325)
b)
The time in which the distance between the Lion and the Tiger will be shortest
time= distance speedthe distance between the two ships= 3252+2672=420.6 units
time= 420.6325×2=39 minutes
c)
The shortest message between the Lion and the Tiger
The parametric equation for the shortest distance is given by
P0+tu, P1+sv
Where p0 and p1 are constants related to the reference of the line.

The shortest distance is given by the parametric equation:
rs,t=(P0+tu)-(p1+sv)
=[uuuv uvvv]
The determinant of the matrix is simplified into the following expression:
= 3252+2672=420.6 unitsd)
The time the distance between lion and Eagle will be shortest
time= distance speeddistance between the two ships= 3252152+2672=325215 units
time= 325215215257×2=1 hour 45 minutes
e) The shortest message between the Lion and the Eagle
The parametric equation for the shortest distance is given by
m0+tu, m1+sv
Where p0 and p1 are constants related to the reference of the line.
The shortest distance is given by the parametric equation:
ra,b=m+tu)-(m1+sv)
=[uuuv uvvv]
The determinant of the matrix is simplified into the following expression:
distance between the two ships= 3252152+2672=325215 unitsReferences
Beardon, A. F. (2005). Algebra and geometry. Cambridge University Press.