Orthogonal and Orthonormal Sets In Exercises 1-12, (a) determine whether the set of vectors in R n is orthogonal, (b) if the set is orthogonal, then determine whether it is also orthonormal, and (c) determine whether the set is a basis for R n . { ( 2 , 1 ) , ( 1 3 , − 2 3 ) }
Orthogonal and Orthonormal Sets In Exercises 1-12, (a) determine whether the set of vectors in R n is orthogonal, (b) if the set is orthogonal, then determine whether it is also orthonormal, and (c) determine whether the set is a basis for R n . { ( 2 , 1 ) , ( 1 3 , − 2 3 ) }
Solution Summary: The author analyzes whether the set of vectors in R2 is orthogonal.
Orthogonal and Orthonormal Sets In Exercises 1-12, (a) determine whether the set of vectors in
R
n
is orthogonal, (b) if the set is orthogonal, then determine whether it is also orthonormal, and (c) determine whether the set is a basis for
R
n
.
{
(
2
,
1
)
,
(
1
3
,
−
2
3
)
}
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.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.