2. Find the distance between the given parallel planes. 2x +y+ 2z = 8 and 4x +2y + 4z +5 = 0
2. Find the distance between the given parallel planes. 2x +y+ 2z = 8 and 4x +2y + 4z +5 = 0
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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please solve any question
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![[5]
1. Write the vector v = |3 as a linear combination of the vectors:
2. Find the distance between the given parallel planes.
2x + y+ 2z = 8 and 4x + 2y + 4z + 5 = 0
3. Find bases for the nullspace and row space of A.
1
4
6.
9
3
A =
-1
-2
1
4
-1
-1
-1
-2
7
2
8
4. Use matrix multiplication to find the image of the nonzero vector (-5,12) when it is rotated about
the origin through an angle of 0 = -60°.
5. Find two unit vectors orthogonal to both u =< 1,-1,1> and v =< 0,4,4 >.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faefc3813-d244-48b0-80a7-83bf4c1c17e5%2F26407d2e-fdd0-463a-9bbe-1c3df73bcbb4%2Fthccng_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[5]
1. Write the vector v = |3 as a linear combination of the vectors:
2. Find the distance between the given parallel planes.
2x + y+ 2z = 8 and 4x + 2y + 4z + 5 = 0
3. Find bases for the nullspace and row space of A.
1
4
6.
9
3
A =
-1
-2
1
4
-1
-1
-1
-2
7
2
8
4. Use matrix multiplication to find the image of the nonzero vector (-5,12) when it is rotated about
the origin through an angle of 0 = -60°.
5. Find two unit vectors orthogonal to both u =< 1,-1,1> and v =< 0,4,4 >.
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