The plane containing the line 
and also containi its projection on the plane 2x+3y−z=5, contains which one of the following points?
(a)
(2, 0, −2)
(b)
(−2, 2, 2)
(c)
(0, −2, 2)
(d)
(2, 2, 0)
The plane containing the line and also containi its projection on the plane 2x+3y−z=5, contains which one of the following points?
(a)
(2, 0, −2)
(b)
(−2, 2, 2)
(c)
(0, −2, 2)
(d)
(2, 2, 0)
Question ID - 57005 | SaraNextGen Top Answer
The plane containing the line and also containi its projection on the plane 2x+3y−z=5, contains which one of the following points?
(a)
(2, 0, −2)
(b)
(−2, 2, 2)
(c)
(0, −2, 2)
(d)
(2, 2, 0)
|
The plane containing the line |
|||
|
(a) |
(2, 0, −2) |
(b) |
(−2, 2, 2) |
|
(c) |
(0, −2, 2) |
(d) |
(2, 2, 0) |
1 Answer
127 votes
Answer Key / Explanation : (a) -
The normal vector of required plane
=(2
×(2
)
=−8
So, direction ratio of normal is (−1, 1, 1)
So required plane is
− (x−3)+(y+2)+(z−1)=0
⇒−x+y+z+4=0
Which is satisfied by(2, 0, −2)
127 votes
Answer Link
127