Revenue The vector u = 〈 3240 , 1450 , 2235 〉 gives the number of hamburgers, chicken sandwiches and cheeseburgers, respectively, sold at a fast food restaurant in one week. The vector v = 〈 2.25 , 2.95 , 2.65 〉 gives the price (in dollars) per unit for the three food items. Find the dot product u ⋅ v and explain what information it gives.
Revenue The vector u = 〈 3240 , 1450 , 2235 〉 gives the number of hamburgers, chicken sandwiches and cheeseburgers, respectively, sold at a fast food restaurant in one week. The vector v = 〈 2.25 , 2.95 , 2.65 〉 gives the price (in dollars) per unit for the three food items. Find the dot product u ⋅ v and explain what information it gives.
Solution Summary: The author explains how to calculate uv and explain its significance.
Revenue The vector
u
=
〈
3240
,
1450
,
2235
〉
gives the number of hamburgers, chicken sandwiches and cheeseburgers, respectively, sold at a fast food restaurant in one week. The vector
v
=
〈
2.25
,
2.95
,
2.65
〉
gives the price (in dollars) per unit for the three food items. Find the dot product
u
⋅
v
and explain what information it gives.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
In the figure, the tip of c and the tail of d are both the midpoint of QR. Express c and d in terms of a and b.
Type the correct answer in each box. If necessary, round your answers to the nearest hundredth.Consider the vectors U <-4,7> and V = <11, -6>.
u+v=<_,_>
||u+v|| = _ units
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