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.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Chapter 8 Solutions
Pearson eText for Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry -- Instant Access (Pearson+)
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