The component form and magnitude of the vector is (-7, 2) and √53 option third is correct.
It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
We have a vector shown in the picture.
The coordinate for tail = (6, 2)
The coordinate for arrow = (-1, 4)
Coordinate for vector = (-1-(6), 4-(2)) = (-7, 2)
The magnitude:
[tex]\rm M=\sqrt{(-1-6)^2+(4-2)^2}[/tex]
M = √53
Thus, the component form and magnitude of the vector is (-7, 2) and √53 option third is correct.
Learn more about the vector here:
brainly.com/question/8607618
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