Euclidean A vector in 150-dimensional space R¹50 makes equal acute angles with the positive directions of the 150 coor- dinate axes. Approximately what is that angle in degrees? A 83.135434⁰ B 84.968363° C 85.316606° D 84.762343⁰ E 84.260829⁰ F none of these

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
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A vector in 150-dimensional Euclidean
space R¹50 makes equal acute angles with
the positive directions of the 150 coor-
dinate axes. Approximately what is that
angle in degrees?
A 83.135434⁰
dr
kxF
dt
Solve the initial-value problem
with initial condition r(0) = 1+2j+ 3k De-
scribe the solution curve.
A r(t) = [cos (t)- 2 sin(t) li -
[sin(t) + 2 cos (t) 1j + 3 k, a cir-
cle with centre (0, 0, 3) and radius
5 in the plane z = 3.
Br(t) = [cos (t)
2 sin(t)] i +
[sin(t) + 2 cos (t)] j + 3 k, a cir-
cle with centre (0, 0, 3) and radius
5 in the plane z = 3.
Cr(t) = [cos (t) 2 sin(t)] i +[
B 84.968363⁰
C 85.316606⁰
D 84.762343⁰
E
84.260829⁰
F
none of these
sin(t) 2 cos (t) ]j + 3 k, a cir-
cle with centre (0, 0, 3) and radius
5 in the plane z = 3.
Dr(t) =[
F
cos (t) + 2 sin(t) li
[sin(t) 2 cos (t)] j + 3 k, a cir-
cle with centre (0, 0, 3) and radius
5 in the plane z = 3.
Er(t) = [cos (t)- 2 sin(t)] i +[
sin(t) + 2 cos (t)] j + 3 k, a cir-
cle with centre (0, 0, 3) and radius
5 in the plane z =
3.
none of these
Transcribed Image Text:A vector in 150-dimensional Euclidean space R¹50 makes equal acute angles with the positive directions of the 150 coor- dinate axes. Approximately what is that angle in degrees? A 83.135434⁰ dr kxF dt Solve the initial-value problem with initial condition r(0) = 1+2j+ 3k De- scribe the solution curve. A r(t) = [cos (t)- 2 sin(t) li - [sin(t) + 2 cos (t) 1j + 3 k, a cir- cle with centre (0, 0, 3) and radius 5 in the plane z = 3. Br(t) = [cos (t) 2 sin(t)] i + [sin(t) + 2 cos (t)] j + 3 k, a cir- cle with centre (0, 0, 3) and radius 5 in the plane z = 3. Cr(t) = [cos (t) 2 sin(t)] i +[ B 84.968363⁰ C 85.316606⁰ D 84.762343⁰ E 84.260829⁰ F none of these sin(t) 2 cos (t) ]j + 3 k, a cir- cle with centre (0, 0, 3) and radius 5 in the plane z = 3. Dr(t) =[ F cos (t) + 2 sin(t) li [sin(t) 2 cos (t)] j + 3 k, a cir- cle with centre (0, 0, 3) and radius 5 in the plane z = 3. Er(t) = [cos (t)- 2 sin(t)] i +[ sin(t) + 2 cos (t)] j + 3 k, a cir- cle with centre (0, 0, 3) and radius 5 in the plane z = 3. none of these
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