Hello, I need help with these grade 12 university level vector math questions, please. For a good review please be detailed and thorough when answering the questions. And please answer all the questions correctly too :) Thank you !

1. Calculate the dot product, i - 13', to one decimal place accuracy, given that: It'll: 8, |13|= 10, and the angle between 11' and 13' is 50 2. Determine ifthe vectors {1' : [6, 2,4] and 3 = [9, 3, 6] are collinear. Hint: use the definition of the dot product to prove n9 : 0 between the two vectors. 3. If E has magnitude 12, 13' has magnitude 5, and the angle between 11' and 13' is 120, what is the magnitude of E x 1'} (I? cross 13') to one decimal place accuracy? 4. Consider the vectors E = [7, 1, -2] and 1'5 = [4, 3, 6]. a) Find the cross product i x 1'5: b) Confirm that if x 13 is orthogonal to {i = [7, 1, -2] and 1'5 = [4, 3, 5]