Let
x
1
,
x
2
,
and
x
3
be vectors in
ℝ
3
.
If
x
1
⊥
x
2
and
x
2
⊥
x
3
,
is it necessarily true that
x
1
⊥
x
3
?
Prove your answer.
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.
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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