7C The velocity at t = for r(t) = 4sec (t) i - 7tan(t) j + 4t 2 k %3D

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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The position vector of a paticle is r(t). Find the requested vector.
TC
The velocity at t =
for r(t) = 4sec (t) i - 7tan(t) j + 4t 2 k
4
= 16i + 14j - 2TTK
7C
= 16i - 14j + 2mk
70
= -14j + 2rk
7C
= -14j- 2TTK
Transcribed Image Text:The position vector of a paticle is r(t). Find the requested vector. TC The velocity at t = for r(t) = 4sec (t) i - 7tan(t) j + 4t 2 k 4 = 16i + 14j - 2TTK 7C = 16i - 14j + 2mk 70 = -14j + 2rk 7C = -14j- 2TTK
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