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Step 1 :
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Definition of orthogonal vectors :
\The vectors u and v are orthogonal if
Definition of vector components :
\Let u and v be nonzero vectors such that
\ where
and
are orthogonal vectors.
The vector is the projection of u onto v and it is denoted by
And
Projection of u onto v :
\Let u and v be non zero vectors. The projection of u onto v is
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Step 2 :
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The vectors are and
The projection v onto u :
\
Step 3 :
\Evaluation of :
The value of other orthogonal vector
Solution :
\The projection v onto u :
The value of other orthogonal vector is