Let

be two vectors in . Find vectors such that

and is parallel to .

Let and . Then

Next,

Finally, parallel to implies that there exists some nonzero such that

Putting these together we have

Therefore, we have

Thus,

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#
Stumbling Robot

A Fraction of a Dot
#
Find vectors satisfying given conditions

Let

be two vectors in . Find vectors such that

and is parallel to .

Let and . Then

Next,

Finally, parallel to implies that there exists some nonzero such that

Putting these together we have

Therefore, we have

Thus,