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so what exactly is a dot product well dot product also known as scalar product allows us to multiply vectors multiply two vectors and produces a scalar the formula for that product is as shown so vector a dot vector B where the dot simply means were multiplying that equals while the equation is as follows is if we have the following two vectors vector a and vector B and the angle separate the two actors is theater to find the scalar value of the dot product of these two vectors we simply take the magnitude of vector a multiplied by the magnitude of vector B and multiply that by the cosine of the end of separating our two vectors a and B so one very common example of that product in physics is work work is given by the following equation we take the force we multiply the force by a displacement and take the cosine of the end of separating our two vectors we multiply all three values and we get the work done so force and displacement are both vectors and this angle theta is simply the a
