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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: BK
Component Form: ⟨-5,2⟩
In the given diagram, we can see that the vector is an arrow that travels from point B to point K. A vector is named by writing the starting point followed by the ending point with an arrow above. Therefore, this vector will be BK.
We had to move 5 steps to the left. Since we moved to the left, this will be represented as a negative number in the component form, -5. Now, let's see how many steps up we have to take to get to the same y-coordinate as K.
We had to move 2 steps up. Finally, we can write the component form as ⟨-5,2⟩.