Consider the following points. A(3, 1, 1), B(4, -4, 6), C(7, -2, 0), D(6, 3, −5) Let u = AB, VAC, and w = AD. Find each of these vectors. u = (1, − 5,5) V = (4, - 3, − 1) W = (3,2, -6) Find the scalar triple product u. (v x W). u⚫ (V x W) = -66 × Do the given points A, B, C, and D all lie in the same plane? Yes, they lie in the same plane. No, they do not lie in the same plane.
Consider the following points. A(3, 1, 1), B(4, -4, 6), C(7, -2, 0), D(6, 3, −5) Let u = AB, VAC, and w = AD. Find each of these vectors. u = (1, − 5,5) V = (4, - 3, − 1) W = (3,2, -6) Find the scalar triple product u. (v x W). u⚫ (V x W) = -66 × Do the given points A, B, C, and D all lie in the same plane? Yes, they lie in the same plane. No, they do not lie in the same plane.
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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
Transcribed Image Text:Consider the following points.
A(3, 1, 1), B(4, −4, 6), C(7, −2, 0), D(6,3,-5)
Let u = AB, v = AC, and w = AD. Find each of these vectors.
u =
V =
(1,5,5)
(4, — 3, − 1)
W =
(3,2, - 6)
Find the scalar triple product u⚫ (V x W).
u.
(V x W) =-66
×
Do the given points A, B, C, and D all lie in the same plane?
Yes, they lie in the same plane.
No, they do not lie in the same plane.
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