Question

Consider the following planes. x + y + z = 4, x + 7y + 7z = 4 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (x(t), y(t), z(t)) = (b) Find the angle between the planes. (Round your answer to one decimal place.)

Name: consider the following planes x y z 4 x 7y 7z 4 a find parametric equations for the line of intersection of the planes use the parameter t xt yt zt b find the angle between the planes round 09895
Uploaded: 2022-03-07T14:58:59-08:00
Duration: 7 min 38 s
Channel: Vaibhav Jain
Description: consider the following planes x y z 4 x 7y 7z 4 a find parametric equations for the line of intersection of the planes use the parameter t xt yt zt b find the angle between the planes round 09895

          Consider the following planes.
x + y + z
= 4,     x +
7y + 7z = 4
(a) Find parametric equations for the line of intersection of
the planes. (Use the parameter t.)
(x(t),
y(t),
z(t)) =
(b) Find the angle between the planes. (Round your answer to one
decimal place.)

Added by Jose Manuel A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vaibhav Jain

03/07/2022

Step 1

Given the normal vectors of the planes are \( \textbf{n}_1 = \langle 1, 1, 1 \rangle \) and \( \textbf{n}_2 = \langle 1, 7, 7 \rangle \). Calculate the cross product of the normal vectors: \[ \textbf{d} = \textbf{n}_1 \times \textbf{n}_2 = \begin{vmatrix} Show more…

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Consider the following planes. x + y + z = 4, x + 7y + 7z = 4 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (x(t), y(t), z(t)) = (b) Find the angle between the planes. (Round your answer to one decimal place.)