Let u = PQ and v = PR. (a) Write u and v in component form. (4₁, 4₂) = u V P = (-2,-1), Q = (5, -1), R = (1, 6) (b) Write u and v as the linear combination of the standard unit vec 11 11 = || = (c) Find the magnitudes of u and v. ||u||

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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Let u = PQ and v = PR.
(a) Write u and v in component form.
(V₁, V₂)
U =
P = (-2, -1), Q = (5, -1), R = (1, 6)
V
(b) Write u and v as the linear combination of the standard unit vectors i and j.
11
||v||
=
=
(c) Find the magnitudes of u and v.
||u||
=
(d) Find -4u + v.
Transcribed Image Text:Let u = PQ and v = PR. (a) Write u and v in component form. (V₁, V₂) U = P = (-2, -1), Q = (5, -1), R = (1, 6) V (b) Write u and v as the linear combination of the standard unit vectors i and j. 11 ||v|| = = (c) Find the magnitudes of u and v. ||u|| = (d) Find -4u + v.
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