Complete the code to calculate the dot product of two vectors.
dot_product = sum(a * b for a, b in zip(vec1, [1]))
The dot product multiplies corresponding elements of two vectors and sums them. Here, vec2 is the second vector to multiply with vec1.
Complete the code to calculate the magnitude (length) of a vector.
magnitude = sum(x[1]2 for x in vec) ** 0.5
The magnitude is the square root of the sum of squares of vector elements. So each element is squared using ** 2.
Fix the error in the cosine similarity formula by completing the denominator.
cos_sim = dot_product / (magnitude1 [1] magnitude2)The denominator of cosine similarity is the product of the magnitudes of the two vectors, so the operator is *.
Fill both blanks to complete the dictionary comprehension that maps words to their vector lengths if length is greater than 3.
lengths = {word: [1] for word in words if len(word) [2] 3}The dictionary comprehension creates a mapping from each word to its length, but only for words longer than 3 characters. So len(word) is the value, and the condition uses >.
Fill all three blanks to create a dictionary of words mapped to their lengths, but only include words with length greater than 2.
result = [1]: [2] for [3] in word_list if len([3]) > 2}
The dictionary comprehension maps each word to its length len(word). The loop variable is word iterating over word_list. The condition filters words longer than 2.