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Vector vec(AB) has an initial point (1,-4), an x component of -8 , and a y component of 9 . Find the coordinates of the terminal point, B. B=(◻,◻)

Vector ABundefined \overrightarrow{A B} has an initial point (1,−4) (1,-4) , an x x component of −8-8 , and a y y component of 99 .\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 (1,−4) (1,-4) , an x x component of −8-8 , and a y y component of 99 .\newlineFind the coordinates of the terminal point, B B .\newlineB=(□,□) B=(\square, \square)
  1. Find Terminal Point B: To find the terminal point B of the vector AB⃗\vec{AB}, we need to add the vector's components to the coordinates of the initial point A.
  2. Calculate x-coordinate of B: The x component of AB⃗\vec{AB} is −8-8. To find the x-coordinate of point B, we add this component to the x-coordinate of point A.Bx=Ax+(−8)B_x = A_x + (-8)Bx=1+(−8)B_x = 1 + (-8)Bx=−7B_x = -7
  3. Calculate y-coordinate of B: The y component of AB⃗\vec{AB} is 99. To find the y-coordinate of point B, we add this component to the y-coordinate of point A.By=Ay+9B_y = A_y + 9By=−4+9B_y = -4 + 9By=5B_y = 5
  4. Coordinates of Point B: The coordinates of the terminal point B are (−7,5)(-7, 5).

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