Consider the three points a = (10, −3,5), b = (0,2,4), and c = (2,1,0) in three-dimensional space.
let be the midpoint of and be the midpoint of .
a. write down the components of the three vectors ab, bc, and ca, and verify through arithmetic that
their sum is zero. also, explain why geometrically we expect this to be the case.
b. write down the components of the vector mn. show that it is parallel to the vector bc and half its
magnitude.

google dat sis

step-by-step explanation:

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b