3. Let U-= 4 And v = -1 -3 be two vectors in R3. (A) Calkülateu x v. (b) Determine an equation in normal form for the plane Il passing through the origin and which is tensioned by 20 and 3v. v. (<) Determine AN orthogonal base for R3 that contains tWD vectors that lie i planet II.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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VZI6 aug2
3. Let
U--
And v =
be two vectors in K3.
(A) Calkulateux V.
(b) Determine an equation in normal form for the plane Il passing through the origin
And which is tensioned by Zu and 3v3v.
(<) Determine An orthoganal base for R3 that contains twD vectors that lie
i planet II.
Transcribed Image Text:VZI6 aug2 3. Let U-- And v = be two vectors in K3. (A) Calkulateux V. (b) Determine an equation in normal form for the plane Il passing through the origin And which is tensioned by Zu and 3v3v. (<) Determine An orthoganal base for R3 that contains twD vectors that lie i planet II.
3. Låt
u =
4
och v =
-3
vara två vektorer i R3.
(a) Beräkna u x v.
(b) Bestäm en ekvation på normalform för planet II som går genom origo
och som spänns upp av 2u och 3v.
(c) Bestäm en ortogonal bas för R3 som innehåller två vektorer som ligger
i planet II.
Transcribed Image Text:3. Låt u = 4 och v = -3 vara två vektorer i R3. (a) Beräkna u x v. (b) Bestäm en ekvation på normalform för planet II som går genom origo och som spänns upp av 2u och 3v. (c) Bestäm en ortogonal bas för R3 som innehåller två vektorer som ligger i planet II.
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