Find the derivative of the vector function

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Homework Help Overview

The discussion revolves around finding the derivative of a vector function defined as r(t) = ta x (b + tc), where specific vectors a, b, and c are provided. The participants are exploring the implications of differentiating a vector function with respect to a variable t.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the form of the vector function and express confusion regarding the differentiation process, particularly due to the presence of constants and the variable t. Questions arise about whether to perform a cross product and how to handle constants in the differentiation.

Discussion Status

The discussion is ongoing, with participants seeking clarification on how to differentiate the vector function. Some guidance has been offered regarding the differentiation process, but there is no explicit consensus on the approach to take.

Contextual Notes

Participants note that all components of the vector function except for t are constants, which raises questions about the differentiation of the cross product in this context.

xstetsonx
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Find the derivative of the vector function r(t) = ta x (b + tc)
a=<-2,2,-1> b=<-1,1,1> c=<-2,2,4>


I know r(t)=ta x (b + tc)=(axb)t+(axc)t^2
then i got lost
 
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Hi xstetsonx! :smile:

(try using the X2 tag just above the Reply box :wink:)
xstetsonx said:
I know r(t)=ta x (b + tc)=(axb)t+(axc)t^2

ok, now differentiate wrt t. :smile:
 
don't know how because they are all numbers. Should i do the cross product or what do i do?
 
uhh? everything except t is a constant :confused:
 
Everything except t is a constant vector. t is the only numeric variable in the problem.
 

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