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Vector vec(AB) has a terminal point (7,9), an x component of 11 , and a y component of 12 . Find the coordinates of the initial point, A. A=(◻,◻)

Vector ABundefined \overrightarrow{A B} has a terminal point (7,9) (7,9) , an x x component of 1111 , and a y y component of 1212 .\newlineFind the coordinates of the initial point, A A .\newlineA=(□,□) A=(\square, \square)

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Q. Vector ABundefined \overrightarrow{A B} has a terminal point (7,9) (7,9) , an x x component of 1111 , and a y y component of 1212 .\newlineFind the coordinates of the initial point, A A .\newlineA=(□,□) A=(\square, \square)
  1. Find Initial Point A: To find the initial point AA of the vector AB⃗\vec{AB}, we need to subtract the vector's components from the terminal point's coordinates.\newlineGiven:\newlineTerminal point B=(7,9)B = (7, 9)\newlinex component of AB⃗=11\vec{AB} = 11\newliney component of AB⃗=12\vec{AB} = 12\newlineThe initial point AA can be found using the following formulas:\newlineAx=Bx−AB⃗xA_x = B_x - \vec{AB}_x\newlineAy=By−AB⃗yA_y = B_y - \vec{AB}_y
  2. Calculate AxA_x: Calculate the x-coordinate of the initial point A using the formula:\newlineAx=Bx−AB⃗xA_x = B_x - \vec{AB}_x\newlineAx=7−11A_x = 7 - 11\newlineAx=−4A_x = -4
  3. Calculate AyA_y: Calculate the y-coordinate of the initial point AA using the formula:\newlineAy=By−AB⃗yA_y = B_y - \vec{AB}_y\newlineAy=9−12A_y = 9 - 12\newlineAy=−3A_y = -3

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