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Vector vec(AB) has an initial point (-9,8), an x component of 4 , and a y component of -11 . Find the coordinates of the terminal point, B. B=(◻,◻)

Vector ABundefined \overrightarrow{A B} has an initial point (−9,8) (-9,8) , an x x component of 44 , and a y y component of −11-11 .\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 (−9,8) (-9,8) , an x x component of 44 , and a y y component of −11-11 .\newlineFind the coordinates of the terminal point, B B .\newlineB=(□,□) B=(\square, \square)
  1. Find Terminal Point B: To find the terminal point BB of the vector AB⃗\vec{AB}, we need to add the xx and yy components of the vector to the xx and yy coordinates of the initial point AA, respectively.
  2. Calculate x coordinate of B: The x coordinate of point B is found by adding the x component of AB⃗\vec{AB} to the x coordinate of point A. So, Bx=Ax+AB⃗xB_x = A_x + \vec{AB}_x.Bx=−9+4=−5B_x = -9 + 4 = -5.
  3. Calculate y coordinate of B: The y coordinate of point B is found by adding the y component of AB⃗\vec{AB} to the y coordinate of point A. So, By=Ay+AB⃗yB_y = A_y + \vec{AB}_y.\newlineBy=8+(−11)=−3B_y = 8 + (-11) = -3.
  4. Final coordinates of B: The coordinates of the terminal point B are therefore (−5,−3)(-5, -3).

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