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| PAGE: 876 | SET: Exercises | PROBLEM: 1 |
(a)
Draw the vectors 
and 
.
Graph :
Graph the vectors 
and 
.
(b)
Draw the vectors 
and 
.
Graph :
Graph the vectors 
and 
.
.gif)
(c)
Find the expression for 
and unit tangent vector 
.
Derivatives :
The derivative 
of a vector function 
is defined in much the same way as for real valued functions.
.
Substitute 
.
.
Unit tangent vector :
The unit tangent vector 
.
Substitute 
.
.
Therefore, 
and unit tangent vector is 
.
(d)
Draw the unit tangent vector 
.
The unit tangent tangent vector is .
Graph :
Graph the vector
.gif)
(a)
Graph :
Graph of the vectors and .
(b)
Graph :
Graph of the vectors and .
(c) and unit tangent vector is .
(d)
Graph :
Graph of the vector
.
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