Given vectors u = 〈2, −1,3〉, v = 〈2,0, −2〉, and w = 〈−3,6,0〉, find the following.
a. 3u + v + w
b. w − 2v − u
c. 3 −12
−13
w
d. −2u − 3(5v − 3w)
e. ‖u‖, ‖v‖ and ‖w‖
f. show that ‖v‖ = ‖‖.
g. show that ‖u + v‖ ≠ ‖u‖ + ‖v‖.
h. show that ‖v − w‖ ≠ ‖v‖ − ‖w‖.
i.
‖u‖ u and
‖u‖

Elena and her husband marc both drive to work. elena's car has a current mileage (total distance driven) of 15,000 and she drives 23,000 miles more each year. marc's car has a current mileage of 46,000 and he drives 9,000 miles more each year. will the mileages for the two cars ever be equal? explain.

Ernest is purchasing a $175,000 home with a 30-year mortgage. he will make a $15,000 down payment. use the table below to find his monthly pmi payment.

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)