All answers must start with a way to source a stream, followed by a single sequence of ONLY stream operations including collect and any operation on Optional

For each answer, the result MUST be assigned to a name and typed variable:

EG:Integer res = ....sequence of stream operations...

res (name) is the result variable of INTEGER (type)

Question 1 Part 1

In a document doc.txt, count the unique words (case insensitive) by length, i.e. how many unique words of what length.

For example, 3 words of lenth 4, 5 words of length 3, etc.

Assume a word is a sequence of non-space characters and each line in the document contains one or more words.

Part 2

Consider an nx2 array, double[][] arr, in which each of the 2 columns represents a vector. Write code to get the dot product of the column vectors, i.e. the sum of products of corresponding items.

EG:

[1,2,3]*[4,5,6] = 1*4 + 2*5 + 3*6 = 32

Please show all work and explain the solution