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10. If r = 3i+2j + 8k show that I•I = |r|² 11. Find the component of the vector r=1-j + 3k in the direction of a = 7i-2j+ 2k 12. Find the area of the parallelogram with edges represented by the vectors 2i-j+3k and 7i+j+ k 13. Find the volume of the parallelepiped with edges by the vectors i+j+ k, 2i +3j + 4k and 3i - 2j + k

10. If r = 3i+2j + 8k show that I•I = |r|² 11. Find the component of the vector r=1-j + 3k in the direction of a = 7i-2j+ 2k 12. Find the area of the parallelogram with edges represented by the vectors 2i-j+3k and 7i+j+ k 13. Find the volume of the parallelepiped with edges by the vectors i+j+ k, 2i +3j + 4k and 3i - 2j + k

Advanced Engineering Mathematics
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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answers:

Q10) 77

11) 1.987

12) sqrt(458)

13) 8

10. If r = 3i+2j+ 8k show that I•I = |r|² 11. Find the component of the vector r=1-j + 3k in the direction of a = 7i-2j+ 2k 12. Find the area of the parallelogram with edges represented by the vectors 2i-j + 3k and 7i+j+ k 13. Find the volume of the parallelepiped with edges by the vectors i+j+ k, 2i +3j + 4k and 3i - 2j + k
Transcribed Image Text:10. If r = 3i+2j+ 8k show that I•I = |r|² 11. Find the component of the vector r=1-j + 3k in the direction of a = 7i-2j+ 2k 12. Find the area of the parallelogram with edges represented by the vectors 2i-j + 3k and 7i+j+ k 13. Find the volume of the parallelepiped with edges by the vectors i+j+ k, 2i +3j + 4k and 3i - 2j + k
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