<u>Answer:</u>
<u>Step-by-step explanation:</u>
He has asked me to move the finish line 0.25 km forward
Now,
we know that
1 km = 0.621371 mile
⇒ 0.25 km = 
mile
= 
feet
(since 1760 yards = 1 mile and 3 feet = 1 yard)
= 820.20972 feet
. (Answer)
The intersection line of two planes is the cross product of the normal vectors of the two planes.
p1: z=4x-y-13 => 4x-y-z=13
p2: z=6x+5y-13 => 6x+5y-z=13
The corresponding normal vectors are:
n1=<4,-1,-1>
n2=<6,5,-1>
The direction vector of the intersection line is the cross product of the two normals,
vl=
i j k
4 -1 -1
6 5 -1
=<1+5, -6+4, 20+6>
=<6,-2,26>
We simplify the vector by reducing its length by half, i.e.
vl=<3,-1,13>
To find the equation of the line, we need to find a point on the intersection line.
Equate z: 4x-y-13=6x+5y-13 => 2x+6y=0 => x+3y=0.
If x=0, then y=0, z=-13 => line passes through (0,0,-13)
Proceed to find the equation of the line:
L: (0,0,-13)+t(3,-1,13)
Convert to symmetric form:
=>
232
A=2(WL+HL+HW)
so 2(8*10+2*10+2*8)
