Q. Vector AB has an initial point (7,−4), an x component of −10 , and a y component of −5 .Find the coordinates of the terminal point, B.B=(□,□)
Add components to initial point: To find the terminal point B of the vector AB, we need to add the vector's components to the coordinates of the initial point A.
Find x coordinate of point B: The x component of AB is −10. To find the x coordinate of point B, we add this component to the x coordinate of point A.So, x coordinate of B = x coordinate of A + x component of AB = 7+(−10)=−3.
Find y coordinate of point B: The y component of AB is −5. To find the y coordinate of point B, we add this component to the y coordinate of A.So, y coordinate of B = y coordinate of A + y component of AB = −4+(−5)=−9.
Coordinates of terminal point B: The coordinates of the terminal point B are therefore (−3,−9).
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