3. (а) Consider the vectors ū = i – 6j + 4k, ở = 2i – 5j – 3k and w = 6i – 2j + 3k Show that ū x (T + w) = (ū x t) + (ūx w). (b) B(4,8, 10), C(11, 7,9) and D(9, 4, 5) by using the cross product. Find the area of the parallelogram with the points A(2,5, 6),

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. (а)
Consider the vectors ū = i – 6j + 4k, ở = 2i – 5j – 3k and
|
-
w = 6i – 2j + 3k
Show that ū x (T + w) = (ū x v) + (ū x w).
(b)
B(4, 8, 10), C(11, 7,9) and D(9,4, 5) by using the cross product.
Find the area of the parallelogram with the points A(2,5,6),
Transcribed Image Text:3. (а) Consider the vectors ū = i – 6j + 4k, ở = 2i – 5j – 3k and | - w = 6i – 2j + 3k Show that ū x (T + w) = (ū x v) + (ū x w). (b) B(4, 8, 10), C(11, 7,9) and D(9,4, 5) by using the cross product. Find the area of the parallelogram with the points A(2,5,6),
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