. In Problems 15 and 16, verify that a · (a × b) = 0 and b. (a × b) = 0. 16. a = ⁄i − ¹⁄j, b = 2i − 2j + 6k In Problems 17 and 18, (a) calculate b × c followed by a × (b × c), and (b) verify the results in part (a) by (15) of this section 18. a = 3i 4k b = i +2j - k c = −i + 5j + 8k

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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Question
.
In Problems 15 and 16, verify that a · (a × b) = 0 and
b. (a × b) = 0.
16. a = ¹⁄i − ¹⁄j, b = 2i − 2j + 6k
In Problems 17 and 18, (a) calculate b × c followed by
a × (b × c), and (b) verify the results in part (a) by (15)
of this section.
18. a = 3i - 4k
b = i +2j - k
c = −i + 5j + 8k
Transcribed Image Text:. In Problems 15 and 16, verify that a · (a × b) = 0 and b. (a × b) = 0. 16. a = ¹⁄i − ¹⁄j, b = 2i − 2j + 6k In Problems 17 and 18, (a) calculate b × c followed by a × (b × c), and (b) verify the results in part (a) by (15) of this section. 18. a = 3i - 4k b = i +2j - k c = −i + 5j + 8k
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