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Vector vec(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=(◻,◻)

Vector ABundefined \overrightarrow{A B} has an initial point (7,−4) (7,-4) , an x x component of −10-10 , and a y y component of −5-5 .\newlineFind the coordinates of the terminal point, B B .\newlineB=(□,□) B=(\square, \square)

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Q. Vector ABundefined \overrightarrow{A B} has an initial point (7,−4) (7,-4) , an x x component of −10-10 , and a y y component of −5-5 .\newlineFind the coordinates of the terminal point, B B .\newlineB=(□,□) B=(\square, \square)
  1. Add components to initial point: To find the terminal point BB of the vector AB⃗\vec{AB}, we need to add the vector's components to the coordinates of the initial point AA.
  2. Find x coordinate of point B: The x component of AB⃗\vec{AB} is −10-10. To find the x coordinate of point B, we add this component to the x coordinate of point A.\newlineSo, x coordinate of B = x coordinate of A + x component of AB⃗\vec{AB} = 7+(−10)=−37 + (-10) = -3.
  3. Find y coordinate of point B: The y component of AB⃗\vec{AB} is −5-5. To find the y coordinate of point B, we add this component to the y coordinate of A.\newlineSo, y coordinate of B = y coordinate of A + y component of AB⃗\vec{AB} = −4+(−5)=−9-4 + (-5) = -9.
  4. Coordinates of terminal point B: The coordinates of the terminal point B are therefore (−3,−9)(-3, -9).

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