1- Consider vectors,[1]-3'и %3v =1W =-3(a) Do these vectors line in a plane ? Why? Why not? Find the coefficients for linearcombinations if exist.(b) Find ||u + v끼 and ||v-이.(c) Find the unit vectors au, ap, a, in the direction of the vectors u, v, w respectively.(d) Confirm the Cauchy-Schwarz inequality for u, v and confirm the triangleinequality for v, w.(e) Find the angle between u, and v.

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Consider vectors, 1 2 u = 12 v = 1 = M -3 3. 2. (a) Do these vectors line in a plane ? Why? Why not? Find the coefficients for linear combinations if exist. (b) Find ||u + v|| and ||v – w||. (c) Find the unit vectors au, a,, a, in the direction of the vectors u, v, w respectively. -

Consider vectors, 1 2 u = 12 v = 1 = M -3 3. 2. (a) Do these vectors line in a plane ? Why? Why not? Find the coefficients for linear combinations if exist. (b) Find ||u + v|| and ||v – w||. (c) Find the unit vectors au, a,, a, in the direction of the vectors u, v, w respectively. -

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 11E

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Question

1- Consider vectors,
[1]
-3'
и %3
v =
1
W =
-3
(a) Do these vectors line in a plane ? Why? Why not? Find the coefficients for linear
combinations if exist.
(b) Find ||u + v끼 and ||v-이.
(c) Find the unit vectors au, ap, a, in the direction of the vectors u, v, w respectively.
(d) Confirm the Cauchy-Schwarz inequality for u, v and confirm the triangle
inequality for v, w.
(e) Find the angle between u, and v.

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