(a) Find parametric equations for the line through (2, 3, 4) that is perpendicular to the plane x - y + 2z = 1. (Use the parameter t.)(x(t), y(t), z(t))(b) In what points does this line intersect the coordinate planes?xy-plane(x, y, z)=yz-plane(x, y, z) =xz-plane (x, y, z) =

As per the question, we are given a point (2, 3, 4) and a plane x-y+2z=1, and we are asked to find…

Answered: (a) Find parametric equations for the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3. What is the parametric equation for the line through the point (1 ,2,3) parallel to the y - axis? (a) x = 1+ 2t, y = 0, z = 0 (b) x = 1+ 5t, y = 0, z = 0 (c) x = 0,y = 2+ 3t, z = 0 (d) a, b, & c
Complete the parametric equations of the line through the points (3,7,-6) and (-5,-2,-8) (t)-3-8t y(t)= z(t)= Calculator Check Answer -2859/assignments/1725773?module_item_id=4116610# 20 64 #3 N E 888 F4 F5 55 6 MacBook Air F6 R T Y D F G X C V & B H A * FB 7 8 9 C O J K L N M 4 V- H P A command 2 cation
Z-1 4 = = 2- y = z and l, = x = -1, 2 = y-2 and l2 = x = 2 3 2 Find: equation of the plane parallel to both lines that containing point (1, 1, 1).
Let L be a line which is parallel to the line L1 : 2x = 3y = 6z and intersects two lines L2 : x = z – 4 = 0_and L3 : y = z + 4 = 0. (a) Find the parametric equations of the line L. (b) Let L4 be a line with symmetric equations Y – 8 x + 12 = 2 -z. Find the equation of the plane containing the lines L and L4.
Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 ) at time t = 0 and passes through the point Q ( − 3 , 10 , 15 ) at time t = 3 .Does this line pass through the point R ( 1 , 2 , − 4 ) ? How do you know? If the line does not pass through this point, find a new point on the line with integer coordinates that is close to R ( 1 , 2 , − 4 ) .

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(a) Find parametric equations for the line through (2, 3, 4) that is perpendicular to the plane x - y + 2z = 1. (Use the parameter t.) (x(t), y(t), z(t)) (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z)= yz-plane (x, y, z) = xz-plane (x, y, z) =