# CALCULUS EXAM REVIEW

posted by .

Hi, my exam is tomorrow and I'm here with my girlfriend who's also in the same class trying to figure out how to do the exam review but we're stuck.. please be kind and help us out, we'd really appreciate it. Thank you in advance.

QUESTION:

Write a vector equation and parametric equations for a plane that satisfies each set of conditions.

a) contains the point P̥(2,-4,6); has direction vectors a = [6,-7,0] and b = [4,1,3]

b) contains the point P̥(-5,9,-3); is parallel to the lines [x,y,z] = [1,-2,7] + s[4,-1,-3] and [x,y,z] = [7,-2,15] + t[1,6,-8]

c) contains the points A(4,-2,5), B(3,-3,1), and C(5,2,8)

d) has x-intercept 12, y-intercept -4, and z-intercept 7

please and thank you!

• CALCULUS EXAM REVIEW -

To write the vector equation of a plane you need two different direction vectors on the plane, and a point on the plane

a) you are given exactly what I described above
so
r = (2,-4,6) + s(6,-7,0) + t(4,1,3)

It is easy to write these in parametric form
x = 2 + 6s + 4t
y = -4 -7t
z = 6 = 3t , it should be obvious what I did.

b) each of the lines gives you a direction vector, and you are given a point, so ....... (same question)

c) You can find vector AB and vector AC or vector BC , and you have the choice of 3 different points,

d) "has x-intercept 12, y-intercept -4, and z-intercept 7" translates to ...
you are given the points (12,0,0), (0,-4,0) and (0.0.7). Now it becomes the same kind of problem as c)

## Similar Questions

1. ### Science

I have a science exam tomorrow for 9 Space Science. I was wondering if you could help me find free practice exams, tests or questions to review for my exam. We have no way of knowing what your exam will cover. Your best bet is to review …
2. ### Calculus Exam

My calculus exam is on friday. I was wondering if anyone had any tips on doing well?
3. ### Final-Chemistry

I have finals coming up in a week and a half. I know I should have started studying earlier, but I just had an exam in my chem class and was focused on getting the information for that exam mastered before I started studying for the …
4. ### Probability (Pre-Calculus)

A class is given a list of eight study problems from which five will be part of an upcoming exam. If a given student knows how to solve six of these problems, find the probability that the student will be able to answer: (a) all five …

PLEASE HELP ME! Exam is in an hour and i need to finish this exam pre-test to help me ! consider the function y = 2sinx a) determine dy/dx b) calculate the exact value of x for which the slope of the tangent to the graph is √2 …
6. ### advanced statistics

suppose the probability is 0.30 that a student taking an exam did not review. what is the probability,that among 6 students taking an exam, 5 did not review?
7. ### stats

Identify the direction and all possible interpretations of each of the following correlations. Be sure to identify each example as positive, negative, or zero (not correlated). Then give all possible causal interpretations for the …
8. ### statistics

On this semesters final exam, john scored 72 on his calculus exam, (class distribution (u=65, \?
9. ### statistics

On this semesters final exam, john scored 72 on his calculus exam and 53 on his statistics exam. The z score for both exams was the same. Which on would he do better on?
10. ### statistics

On this semesters final exam, john scored 72 on his calculus exam and 53 on his statistics exam. The z score for both exams was the same. Which on would he do better on?

More Similar Questions