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.
All you dois times it three times
Answer:
5?
Step-by-step explanation:
Why am I here, I cant math.
Answer: No, it would not be the mean of the tax paid by all US drivers.
To find the mean, we divided by 50 because there are 50 states. However, the number of people in each state is not equal. Therefore, the 50 states should not be treated as they are equal.
To find the mean correctly, we would have to find weight the value of each state according to the number of people in the state.
Answer:
The answer is A. Gymnastics : Minimum of 57, Median of 60, and maximum of 64
Step-by-step explanation:
