Reference no: EM131014842
1. Using the sketch below, come up with a plan to find the distance between a plane and a point not on the plane.
2. Now, use your plan to find the distance between the plane 5x + y - z = 1 and the point (2,4,-1).
3. Explain how your plan be expanded to find the distance between a plane and a line which does not intersect the plane.
4. Find the distance between the two parallel planes : 5x + y - z = 1 and 10* + 2y - 2z = 5. You should be able to use your plan above to help with this one. (Also, think about how you know these two planes are parallel.)
5. Skew lines are lines in space which are not parallel but also do not intersect. Come up with a plan to find the distance between two skew lines if you know a point on each line and a vector parallel to each line. Then use your plan to find the distance between the two lines given the following:
- (1, -2, 4) is a point on the line one and vector v bar = i^ + 3j^-k^ is parallel to this line
- (0, 3, -3) is a point on line two and vector w bar = 2i^ + j^ + 4k^ is parallel to this line.
|
Returns for the first investment will be paid in nominal
: You have $2000 to invest, and are choosing between two projects, both of which cost $2000 up front and will yield six years of returns. The returns for the first investment will be paid in nominal $, starting at $400 a year from now and increasing at..
|
|
Demonstrate the class in a program
: Demonstrate the class in a program that asks the user for the quantity of items being purchased, and then displays the sale's subtotal, amount of sales tax, and total
|
|
Which project has the higher equivalent annual net benefit
: The company you work for is trying to decide between two projects. Project 1 costs $200,000 up front, and has an expected life of 5 years, over which it will return $40,000 each of the five years. Project 2 would last for 15 years, costs $1 million u..
|
|
Tuition financing plan
: Wayne State offers a tuition financing plan where a $40,000 loan taken at the beginning of the freshman year would pay for all 4 years of college tuition. The plan calls for the loan to be repaid over a ten year period starting 5 years from the date ..
|
|
Find the distance between the two parallel planes
: Find the distance between the two parallel planes : 5x + y - z = 1 and 10* + 2y - 2z = 5. You should be able to use your plan above to help with this one.
|
|
Define a class client which has attributes name
: Your menu should allow you to add new clients, accept payments from clients using the client's name, make loans, look up a client's balance, remove a client,
|
|
Guatemalan quetzal cross rate
: Isaac Díez Peris lives in Rio de Janeiro. While attending school in Spain he meets Juan Carlos Cordero from Guatemala. Over the summer holiday Isaac decides to visit Juan Carlos in Guatemala City for a couple of weeks. What is the Brazilian real/Guat..
|
|
Photographic paper and developing materials for traditional
: Kodak used to primarily produce and distribute photographic paper and developing materials for traditional (i.e., non digital) photographic methods. A sizable portion of their business was home photography. Given the assumptions listed above, what is..
|
|
How large a sample should be taken
: After a brief time study on a delivery job, the data showed an average time to do the delivery job of 5.7 minutes with a standard deviation of 0.35 minutes. If we use an alpha value of 2%, and we want our final estimate to be within 0.1 minutes of..
|