2. For a non-zero vector ü(t), show that 1 dü dt u| dt dû dt where û is the unit vector in the direction of ü and ü is the magnitude of ü. By using the above equation, find dû if ü=ti +j. dt

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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2. For a non-zero vector ū(t), show that dů dt 1 dū Juldt du dt where û is the unit vector in the direction of u and lül is the magnitude of u. dů By using the above equation, find if ū=ti+j.

2. For a non-zero vector ü(t), show that
1 dü
dt u| dt
dû
dt
where û is the unit vector in the direction of ü and ü is the magnitude of ü.
By using the above equation, find
dû
if ü=ti +j.
dt
Transcribed Image Text:2. For a non-zero vector ü(t), show that 1 dü dt u| dt dû dt where û is the unit vector in the direction of ü and ü is the magnitude of ü. By using the above equation, find dû if ü=ti +j. dt
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