Vectors Question 5 Fill in the correct numbers or choose the correct answer. Let u=(1,0,1), v3(0,2,0) and w-(2,1,-2) be vectors in R. Then: a) (2v) (3u) = b) The x-coordinate of (2v) x (3u) is c) u x (-2v) · w = d) The angle between v and w is -0. larger than pi/2 less than pi/2 pi/2 pi/4 pi/6 pi/3 e) The square of the area of the parallelogram spanned by u and v is f) The volume of the parallelepiped spanned by u, v and w is g) u, v, w (in this order) form a left-handed system a right-handed system neither a left-handed nor a right-handed system

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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Help for part g and please explain what a left handed and right handed systems mean.
Vectors
Question 5
Fill in the correct numbers or choose the correct answer.
Let u=(1,0,1), v3(0,2,0) and w-(2,1,-2) be vectors in R3, Then:
a) (2v) · (3u) =
b) The x-coordinate of (2v) x (3u) is
c) u x (-2v) · w =
d) The angle between v and w is
0. larger than pi/2 less than pi/2 · pi/2 pi/4 pi/6 pi/3
e) The square of the area of the parallelogram spanned by u and v is
f) The volume of the parallelepiped spanned by u, v and w is
g) u, v, w (in this order) form
· a left-handed system - a right-handed system · neither a left-handed nor a right-handed system
Transcribed Image Text:Vectors Question 5 Fill in the correct numbers or choose the correct answer. Let u=(1,0,1), v3(0,2,0) and w-(2,1,-2) be vectors in R3, Then: a) (2v) · (3u) = b) The x-coordinate of (2v) x (3u) is c) u x (-2v) · w = d) The angle between v and w is 0. larger than pi/2 less than pi/2 · pi/2 pi/4 pi/6 pi/3 e) The square of the area of the parallelogram spanned by u and v is f) The volume of the parallelepiped spanned by u, v and w is g) u, v, w (in this order) form · a left-handed system - a right-handed system · neither a left-handed nor a right-handed system
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