write the vector in component form.
write the vector in component form.
Answer
Explanation:
Step1: Identify starting and ending points
Assume the starting - point of the vector is ((x_1,y_1)) and the ending - point is ((x_2,y_2)). By observing the graph, if we assume the starting - point is ((- 8,-6)) and the ending - point is ((6,-2)).
Step2: Calculate the x - component
The x - component of the vector (\vec{v}) is (x_2 - x_1). So, (x=6-(-8)=6 + 8=14).
Step3: Calculate the y - component
The y - component of the vector (\vec{v}) is (y_2 - y_1). So, (y=-2-(-6)=-2 + 6 = 4).
Answer:
(\langle14,4\rangle)