# Math(Calculus)

posted by .

Ok I have a bunch of questions, please bare with me and i'd appreciate it VERY much if you could help me with these!

1. Assume that you are given the equations of three planes. Without solving the system, describe a "test" with rationale, that you could use to determine whether or not the planes intersect at a single point.

2. Given the equations of three lines in R^3

L1 = (1,4,1) + t(3,3,-2)
L2 = (-3,-5,8) + r(5,0,1)
L3 = (3,-5,8) + s(-5,0,-1)

a) Can all three lines be concurrent (i.e interesect at one point)? Algebraic solution not required

b) Determine the point of intersection of L1 and L2

c) Use information of part a) to help in determining the distance between L3 and L2

End questions.

I'd appreciate it soo much if someone can help me... :(

## Similar Questions

1. ### equations of tangents and normals

hi, i'd really appreciate some help solving this question! I am completely at loss here :/ The question is to: Find the equation of the normal to y=loge(x+2) which is parallel to the line with equation y+3x-5=0 I am fine at solving …
2. ### Calculus

Use normal vectors to determine the intersection, if any, for each of the following groups of three planes. Give a geometric interpretation in each case and the number of solutions for the corresponding linear system of equations. …
3. ### Math - intersection of planes

You are given the following two planes: x+4y-3z-12=0 x+6y-2z-22=0 a) Determine if the planes are parallel b) Fine the line of intersection of the two planes. c) Use the two original equations to determine two other equations that have …
4. ### Math - Intersection of planes

You are given the following two planes: x+4y-3z-12=0 x+6y-2z-22=0 a) Use the two original equations to determine two other equations that have the same solution as the original two. ANS: the orginal two are not parallel in anyway so …
5. ### Math - Intersection of planes

You are given the following two planes: x+4y-3z-12=0 x+6y-2z-22=0 a) Use the two original equations to determine two other equations that have the same solution as the original two. ANS: the original two are not parallel in anyway …

Solving Linear Equations: x _ - 3 = 5 7 I know you have to add three to each side, but after that im not sure what to do,, please help!
7. ### Grade 12 Calculus University

Hello ^___^ Please help me! Thank you very very much! Determine if the planes are parallel. [x,y,z] = [1,2,2] + s[0,-1,0] + t[0,0,1] [x,y,z] = [1,0,-3] + s[0,0,1] + t[-1,0,0] thank you ^__^Y

9. ### Calculus

Consider the following planes. 5x − 4y + z = 1, 4x + y − 5z = 5 a) Find parametric equations for the line of intersection of the planes. b) Find the angle between the planes
10. ### math

You are writing multiple choice test. Each question has 5 choices, only one of which is correct. You have no idea how to answer three questions. What is the probability that you will get all three of these questions correct if you …

More Similar Questions