Answered: If P1 is (1,3,-1) and P2 is (-3,2,4),…

If P1 is (1,3,-1) and P2 is (-3,2,4), find the vector equation of the line P1P2. Determine the intersection of the line with the x = 0 plane, y=0 plane and z=0 plane

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 5E: For the line l:x,y,z=2,3,4+n3,-2,5, find a a point of the line. b a direction vector for the line.

See similar textbooks

Related questions

Q: The value Of (1+1)8, is equal tO O 16 4 4i

A: 1) f(z) = (x-y)2+ 2i (x+y)Here u = (x-y)2, v = 2(x+y)ux = 2(x-y), uy= -2(x-y)vx = 2, vy = 2for ...

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then...

A: Laplace transferom of the pice-wise function

Q: Obtain an asymptotic expansion for I(z) = S e-zy°/2 cos y? dy, along [0, 0). as z → 00 -00

A: As per the question we have to find an asymptotic expression for the integral I(z). And we will do t...

Q: Question 1 Let W be the set of all vectors of the form (x, y, z) where y=x+z+ 3. Determine whether W...

Q: " Find all values of the unknowns which satisfy the matrix equation: [i 1 01 0 2i 1 2i o 0 3il

A: To find the values of unknowns x, y and z which satisfy the matrix equation.

Q: Suppose you have a function z = f (x, y) defined on every point (x, y). Choose a correct statement a...

A: Correct option is (A) i.e. It is perpendicular to the level curve through the point.

Q: cos ( - i ln3) is equal to, COS O 4/2 O 5/2 4/2 2. O 5/2 6. 4/2 23,

Q: Q5: Find the eigenvector and eigenvalue for A = [4 1 21 [2 0 1 B = 0 1 0 Lo 2 11

Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB....

Q: Find all distinct eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eige...

A: The given matrix is A=-3-12240-220-33 the characteristic equation is A-λI=0-3-λ-12240-2-λ20-33-λ=0-...

Q: 6) z-7x+ y = 2, 2y + x-z=6 , 3z 0 use the inverse method to %3D find x,y,z

A: We have given the equations z-7x+y=22y+x-z=63z = 0 we have to find x, y, z by inverse method after t...

Q: What is 2+4

A: The value of 2+4 is 6

Q: Show that the eigenvalues of the Sturm-Liouville system dy + Ay = 0 dx? y(0) = 0, y(L) = 0 %3D gre a...

Q: 1. (а) Find the Fourier series of the function 3, if - 2<x< 0, f(x) = {6, if r = 0, -5, if 0<r< 2, o...

A: Fourier series of a function f(x) in the interval [-L,L] f(x)=a0+∑n=1∞ancosnπxL+∑n=1∞bnsinnπxL where...

Q: Question 2. Consider the function f(x, y, z) = xye-(a+y´+z²), Find all points (a, y, z) such that Vf...

Q: whose

Q: For 1 eR, consider the boundary value dy d'y +2x x +Ay = 0, xe[1,2]| -(P.) problem dx y(1) = y(2) = ...

Q: Q Use Lagrange multipliers to tind the maximum an Ċ minimnm valnes and Points (x ) at which they occ...

Q: In problems 6 - 10, determine if the given series is convergent. Use ratio test, alternating series ...

A: Please post multiple questions separately.

Q: (c) Calculate the population of a spherical cloud of locusts which lies in the ball x2 + y?+ (z – 1)...

A: By our guidelines we are supposed to solve only one question. For the solution of the first question...

Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos (w,t...

Q: Find the root of the function using newton’s method.

A: Note:- In given problem, you mentioned Newton's Method but didn't mention exact equation or function...

Q: х+ 2у + 3z %3D4 Зх + 6у + 92 %3D5 4х — 2у + 7z 3 1

Q: roblem 7. Let G be an Abelian group. The torsion subgroup T of G is the set T = {g €G: ord(g) is fin...

Q: Evaluate 3s – 5 - L-1 [(s – 5)(s + 2)²] |

Q: (p) fi (b) (в)

Q: a piccewise Snction. Cleasly label bounday values. Make Sue the Shape of each seqmert.is corsect. Gr...

A: Given function is fx=−x2+4, x≤02x+4, 0<x≤2x−33, x>2. We have to graph the given piecew...

Q: 1- What is the value of f 3z2+7z+1 dz z+1 (a) If C is the circle |z+1|=1. (b)If C is the circle |z+i...

Q: 3. f(t) = 3t" + 8. 4. f(t) = (3+ e")².

Q: Math 81 HW 16 1, Confirm that the Cauchy-Schwarz inequality holds for the given vectors using the st...

Q: Prove or Disprove. There exists a unique real number r such that r ≤ p for all positive real number...

A: This question related to real analysis's topic real number system.

Q: A complete list of the regular singular points for the differential equation æ (x – 1)² (x + 2)² (x ...

A: We have given differential equation , xx-12 x+22x-24y'' -(x-1)(x-2)3y' + xx-2y = 0 Compare with , p...

Q: Let f(æ, y) = x² + 4y² – 5. (1) Find the equation of the plane tangent to this function at (1, 1, 0)...

A: Given f(x,y)=x2+4y2-5. We find the equation of the plane tangent to this function f(x,y) at (1,1,0).

Q: dy x fanx

Q: 2. For the following complex numbers; perform the indicated operations. Expressresultsin rectangular...

A: Since you have posted a question with multiple subparts, we will solve the first three sub parts for...

Q: 1. Consider the function f(x) = sinx - e-* has a root in the interval [0,1]. Use false position meth...

Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

Q: 4- solve the following differential equations (a) x +3x +2x = g(t) = {0 (10st<10 0 t2 10 ,x(0) = 0,x...

A: Applications of Laplace transferom, solve the differential equation by using Laplace transferom

Q: Find the values of the unknowns using any method applicable. 5а + 2b — 6с + 4d - е %3D 6 2а - b — с ...

A: Given system is 5a + 2b- 6c + 4d – e = 6 2a – b -c- d = -1 3b + 3c + d = 0 3a + 4b – 1.5c + 5d + e ...

Q: Q5)Poles Apart purchased snowboards at a cost of $345 and marks them up by 35% of the selling price....

A: Solution:-

Q: 2. Find the optimal solution of the following linear programming (LP) problem using the dual simplex...

Q: Q5. If the area of the below region (R) equals to (6.25 m2) and if you know that the height of the t...

A: Consider the following figure. According to the given information Z=2W Now, equation of the line OB...

Q: dy QI Find dx for y = tanh(coth(x)

A: Given y=tanh-1(cothx) to find the derivative, apply the chain rule we know thatddxtanh-1x=11-x2 y=ta...

Q: 1: Find the solution of the following Differential Equations 1. dx2 + y = 6e* + 6 cos(x) d'y 2. dx2 ...

Q: f(x) = cos(T.x)+ sin(27x).

Q: Solve the value of the variables using Gauss Elimination. 2x – 3y + z = -4 x + 2y – z = -3 3x 2у + 3...

A: Convert the given system of equations into matrix form. 2-3112-13-23xyz=-4-31 The augmented matrix i...

Q: 3s – 5 E* [(s -5)(s + 2)2]

Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA. O(x...

A: Option (B) is the correct answer.

Q: A topological space (X, t) is a T1-space iff t contains the cofinite topology on X.

Question

If P1 is (1,3,-1) and P2 is (-3,2,4), find the vector equation of the line P1P2.

Determine the intersection of the line with the x = 0 plane, y=0 plane and z=0 plane

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.

Expert Solution