Answer:
4.1 billion
Step-by-step explanation:
1 ft = 30.48 cm
1 in = 2.54 cm
The volume of rain that fell on the roof is given by ...
V = LWH
V = (175 ft × 30.48 cm/ft)(45 ft × 30.48 cm/ft)(11 in × 2.54 cm/in)
= 175×45×11×30.48²×2.54 cm³ = 204,412,236.336 cm³
At 20 drops per cm³, this will be ...
20×204,412,236.336 ≈ 4,088,244,727 . . . . raindrops
About 4.1 billion raindrops fell on your roof.
The dot product of two vectors is defined as the sum of the multiplication of each of its components.
We have then:
B = [2 8 .6 3]
A = [3 0 2 -1]
Making the product point:
BA = [2 8 .6 3] [3 0 2 -1]
BA = (2 * 3) + (8 * 0) + (0.6 * 2) + (3 * (- 1))
BA = 4.2
Answer
BA = 4.2