Given the following documents with term frequencies $($assuming there are only $3$ documents in the collection$)$: Doc$1$Doc$2$Doc$3$reaction$1503$parameters$2552$vehicle$02011$synthesize$1620$Fast$11191)$ Calculate the Log frequency weight of each term$\mathrm{.}2)$ Calculate the idf value of each term$\mathrm{.}3)$ Calculate the tf$-$idf weight for each term$-$document pair $($create a tf$-$idf table$)\mathrm{.}4)$ Calculate the cosine similarity $($create a cosine normalization table$),$ how similar are these documents?