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 :

Step 2 :

The vectors are and .

(a)

Graph of the resultant vector

Step 3 :

(b)

Graph of the resultant vector

Step 3 :

(b)

Graph of the resultant vector

Solution :

(a)

Graph of the vector

(b)

Graph of the resultant vector

(c)

Graph of the resultant vector