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To find the component form of a vector, count how many steps you need to take to get from the first point to the second point in the horizontal and vertical directions.
Vector: CD
Component Form: ⟨ 7,- 3⟩
In the given diagram, we can see that the vector is an arrow that travels from point C to point D. A vector is named by writing the starting point followed by the ending point with an arrow above. Therefore, this vector will be CD.
We had to move 7 steps to the right. This will be represented in the component form, 7. Now, let's see how many steps up we have to take to get to the same y-coordinate as D.
We had to move 3 steps down. Since it is down, this will be represented as negative in the component form, - 3. Moving 7 to the right and 3 units down, can be written in component form as ⟨ 7,- 3⟩.