Question Consider the plane II defined by equation -z+y+z= 0. Which of the following statements are true? I The line y -2 -1 +t 4 is parallel to the plane II. 4 4 Vector -4 is perpendicular to the plane II -8 | Plane -4x+4y+8z=-4 is parallel to the plane II. Plane II is spanned by vectors 0 and 1 -8-0 1 Plane II is spanned by vectors 0 and

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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Consider the plane II defined by equation -z+y+z= 0. Which of the
following statements are true?
I
The line y
-2
-1 +t 4 is parallel to the plane II.
4
4
Vector -4 is perpendicular to the plane II
-8
| Plane -4x+4y+8z=-4 is parallel to the plane II.
Plane II is spanned by vectors 0 and 1
-8-0
1
Plane II is spanned by vectors 0 and
Transcribed Image Text:Question Consider the plane II defined by equation -z+y+z= 0. Which of the following statements are true? I The line y -2 -1 +t 4 is parallel to the plane II. 4 4 Vector -4 is perpendicular to the plane II -8 | Plane -4x+4y+8z=-4 is parallel to the plane II. Plane II is spanned by vectors 0 and 1 -8-0 1 Plane II is spanned by vectors 0 and
Question 2
Find the intersection point of the following plane and line:
2x-3y+z= 0 and
O (1,2,-1)
) (6.2.-6)
(-1,0,1)
(2,2,2)
There is no such point.
8-0-8
2 +t
I
Transcribed Image Text:Question 2 Find the intersection point of the following plane and line: 2x-3y+z= 0 and O (1,2,-1) ) (6.2.-6) (-1,0,1) (2,2,2) There is no such point. 8-0-8 2 +t I
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