Answer:
x=4/3
Step-by-step explanation:
Given plane Π : f(x,y,z) = 4x+3y-z = -1
Need to find point P on Π that is closest to the origin O=(0,0,0).
Solution:
First step: check if O is on the plane Π : f(0,0,0)=0 ≠ -1 => O is not on Π
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e.
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane Π , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane Π
Answer: P(-2/13, -3/26, 1/26) is the point on Π closest to the origin.
Answer:
NONE OF THE ABOVE!!
Step-by-step explanation:
A regular polygon is equilateral and equiangular, and also, can be inscribed into a circle. The polygon shown doesn't meet any of these conditions.
0.5 is above because that .5 of a change is keeping the water from freezing because it is still slightly babouche freezing point.
-13 is below because the number is a negative so is below 0 anyway and is below the freezing point.
100 is above because the number 100 is higher than 0 so it’s above freezing point.
5.5 is above because it is a larger number than the freezing point so the water would not freeze yet at this temperature.
-2.25 is below because it’s a negative number.
I think that’s what you meant not 100% sure but that’s how I would do it :)
