Let a = (1, 0, 3) and b = (−3, 2, 1).

(a) (3 points) normalize −−→ab.
(b) (3 points) find the midpoint m of the segment ab.
(c) (4 points) find equation of the plane passing through m and perpendicular to ab

a)

b)

c)

Step-by-step explanation:

a)

AB, OB, OA are vectors.

Normalizing AB:

b)

OM, OA, OB are vectors.

So,

c)

Hence,

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: