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in this video were going to focus on finding the dot product of two vectors so lets say that we have vector a in the form ax i plus a yj the x component is associated with the i value and the y component is associated with the j value and lets say vector b is in the form b x i plus b y j the dot product of a and b are or is a x times b x plus a y times b y so basically you need to find the product of all the x components and the y components and add them up together so for this example ax is three bx is five a y is four b y is negative 2. so you got to multiply the numbers in front of the i values next to each other and the numbers in front of the j values together and then get the sum 3 times 5 is 15 four times negative two is negative eight fifteen minus eight is seven so therefore c is the right answer so now its your turn go ahead and calculate the dot product of these two vectors so we can see that ax is four a y is negative seven b x is negative two b y is three so the dot p