\
\
\
Step 1 :
\Definition of vector addition and scalar multiplication :
\Let and
be vectors and let k be a scalar.
Then the sum of u and v is the vector :
\
The scalar multiple of k times u is the vector :
\
Definition of the dot product :
\The dot product of and
is
Step 2 :
\The vectors are and
The expression is
Evaluation of :
Evaluation of :
Evaluation of :
Thus,
\The value of and it is a vector.
Solution :
\The value of and it is a vector.