Find the volume of a parallelepiped with sides A = 3i - j, B = j + 2k, C = i + 5j %3D + 4k. The volume of parallelepiped is * |A • (B × C)| 20 O 22 О 18 O 16

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the volume of a parallelepiped
with sides A = 3i - j, B = j + 2k, C = i + 5j
+ 4k. The volume of parallelepiped is *
|A · (B × C)|
20
22
18
O 16
Find a so that 2i - 3j + 5k and 3i +aj -
2k are perpendicular. Round your
answer to three decimal places.
O 1.333
-1.333
-0.333
0.333
Transcribed Image Text:Find the volume of a parallelepiped with sides A = 3i - j, B = j + 2k, C = i + 5j + 4k. The volume of parallelepiped is * |A · (B × C)| 20 22 18 O 16 Find a so that 2i - 3j + 5k and 3i +aj - 2k are perpendicular. Round your answer to three decimal places. O 1.333 -1.333 -0.333 0.333
If A = i + j, B = 2i - 3j + k, C = 4j -3k,
what is (A x B) x C? *
O 21i + 3j + 4k
O 21i + 4j + 3k
O 23i + 4j + 3k
O 23i + 3j + 4k
If A = i +j, B = 2i - 3j + k, C = 4j -3k,
%3D
what is A x (B x C)? *
O 8i + 8j + k
O 8i + 8j - k
8i - 8j + k
8i - 8j - k
Transcribed Image Text:If A = i + j, B = 2i - 3j + k, C = 4j -3k, what is (A x B) x C? * O 21i + 3j + 4k O 21i + 4j + 3k O 23i + 4j + 3k O 23i + 3j + 4k If A = i +j, B = 2i - 3j + k, C = 4j -3k, %3D what is A x (B x C)? * O 8i + 8j + k O 8i + 8j - k 8i - 8j + k 8i - 8j - k
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