Vector a = (2, 1, 2)
Vector b = (1, 2, 4)
Vector p = (k, k, k)
Vector a to vector b = vector b - vector a = (1, 2, 4) - (2, 1, 2) = (1 - 2, 2 - 1, 4 - 2) = (-1, 1, 2)
Vector a to vector p = vector p - vector a = (k, k, k) - (2, 1, 2) = (k - 2, k - 1, k - 2)
Vector a to b is perpendicular to vector a to p if the dot product of vector a to vector b and vector a to vector p is equal to zero.
i.e. (-1, 1, 2) . (k - 2, k - 1, k - 2) = 0
-1(k - 2) + (k - 1) + 2(k - 2) = 0
-k + 2 + k - 1 + 2k - 4 = 0
2k -3 = 0
2k = 3
k = 3/2
Answer:
The coordinates of the point one half the distance is (6,1)
Step-by-step explanation:
Here we want to calculate the coordinates one half of the line segment.
This in another way simply means the coordinates of the midpoint of that segment;
Mathematically;
we proceed with this using the midpoint formula
(x,y) = (x1 + x2)/2, (y1 + y2)/2
From the question (x1,y1) = (5,-6) while (x2,y2) = (7,8)
let’s say
(x,y) = (5 + 7)/2 , (-6 + 8)/2
(x,y) = 12/2, 2/2
(x,y) = (6,1)
Answer:
14.6
Step-by-step explanation:
the equation of proportionality is
y = kx ← k is the constant of proportionality
a = 14.6h is in this form with k = 14.6
yo sup??
as mentioned earlier XUY is simply the summation of all the unique elements of X and Y
S=XUY
={-1,0,1,2,5}
Therefore your answer is option 1 ie
1.{-1,0,1,2,5}
Hope this helps.
Answer:
C
Step-by-step explanation:
hope this helps i think it's right
