In Problems 29 and 30 , the vector v is represented by the directed line segment P Q → . Write v in the form a i+b j and find ‖ v ‖ . P = ( 0 , − 2 ) ; Q = ( − 1 , 1 ) .
In Problems 29 and 30 , the vector v is represented by the directed line segment P Q → . Write v in the form a i+b j and find ‖ v ‖ . P = ( 0 , − 2 ) ; Q = ( − 1 , 1 ) .
Solution Summary: The author explains that the vector v is represented by a directed line segment and the points are P=(0,-2) and Q= (-1,1).
In Problems
29
and
30
, the vector
v
is represented by the directed line segment
P
Q
→
. Write
v
in the form
a
i+b
j
and find
‖
v
‖
.
P
=
(
0
,
−
2
)
;
Q
=
(
−
1
,
1
)
.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
10.Suppose that each of the vectors x(1), …, x(m) has n components, where n < m. Show that x(1), …, x(m) are linearly dependent.
In each of Problems 11 and 12, determine whether the members of the given set of vectors are linearly independent for −∞ < t < ∞ . If they are linearly dependent, find the linear relation among them.
In Problem ,use the vectors in the figure at the right to graph each of the following vectors. 3v + u - 2w
determine whether the members of the given set of vectors are linearly independent. If they are linearly dependent, find a linear relation among them. In Problems 6 to 9, 11, and 12, vectors are written as row vectors to save space but may be considered as column vectors; that is, the transposes of the given vectors may be used instead of the vectors themselves.6. x(1)=(1,1,0),x(2)=(0,1,1),x(3)=(1,0,1)
Chapter 8 Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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