Question

Consider the following planes. x + y + z = 8, x + 7y + 7z = 8 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (x(t), y(t), z(t)) = (8, -6t, 6t) (b) Find the angle between the planes. (Round your answer to one decimal place.) °

Name: consider the following planes x y z 8 x 7y 7z 8 a find parametric equations for the line of intersection of the planes use the parameter t xt yt zt 86t6t b find the angle between the planes 45715
Uploaded: 2023-06-23T06:35:31-08:00
Duration: 3 min 1 s
Channel: Adi S
Description: consider the following planes x y z 8 x 7y 7z 8 a find parametric equations for the line of intersection of the planes use the parameter t xt yt zt 86t6t b find the angle between the planes 45715

          Consider the following planes.
x + y + z = 8,     x + 7y + 7z = 8
(a) Find parametric equations for the line of intersection of
the planes. (Use the parameter t.)
(x(t), y(t), z(t)) = 
(8, -6t, 6t)
   
(b) Find the angle between the planes. (Round your answer to one
decimal place.)
°

Added by Vincent F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

06/23/2023

Step 1

To do this, we can find the cross product of the normal vectors of the two planes. The normal vectors are given by the coefficients of x, y, and z in the plane equations: Normal vector of plane 1: $\begin{pmatrix} 1 \\ 1 \\ 1 \end{pmatrix}$ Normal vector of plane Show more…

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Consider the following planes. x + y + z = 8, x + 7y + 7z = 8 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (x(t), y(t), z(t)) = (8, -6t, 6t) (b) Find the angle between the planes. (Round your answer to one decimal place.) °