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this video contains the solutions to the dot products practice problems handout for the first few problems weamp;#39;re dealing with these two vectors U and V and the first ones asking us to compute u dot V so if we want to do a dot product of two vectors we simply multiply the X components the Y quotient components and if the vectors have them the Z components and we add together the results with those products so this is just going to be negative 10 times 1 plus 0 times 2 plus 4 times 3 thatamp;#39;s negative 10 plus 0 plus 12 which works out to be 2 next up we need to find the angle between U and V and this relies on a property of dot product which is that the dot product of two vectors is equal to the lengths of the two vectors multiplied together multiplied by the cosine of the angle between them and we can figure out what all these values are we already figured out that the dot product is 2 now we just need to figure out the lengths of the two vectors and the length of a vector
