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Vector 
vec(w) has an initial point 
(6,-3) and a terminal point 
(-7,8).
Find the components of vector 
vec(w).

vec(w)=(◻,◻)

Vector w \vec{w} has an initial point (6,3) (6,-3) and a terminal point (7,8) (-7,8) .\newlineFind the components of vector w \vec{w} .\newlinew=(,) \vec{w}=(\square, \square)

Full solution

Q. Vector w \vec{w} has an initial point (6,3) (6,-3) and a terminal point (7,8) (-7,8) .\newlineFind the components of vector w \vec{w} .\newlinew=(,) \vec{w}=(\square, \square)
  1. Identify initial and terminal points: Identify the initial and terminal points of the vector. The initial point of vector w\vec{w} is (6,3)(6,-3), and the terminal point is (7,8)(-7,8). To find the components of the vector, we need to subtract the coordinates of the initial point from the coordinates of the terminal point.
  2. Calculate horizontal component: Calculate the horizontal (x)(x) component of the vector. The xx component is found by subtracting the xx-coordinate of the initial point from the xx-coordinate of the terminal point: (7)(6)=76=13(-7) - (6) = -7 - 6 = -13.
  3. Calculate vertical component: Calculate the vertical ( extit{y}) component of the vector.\newlineThe extit{y} component is found by subtracting the extit{y}-coordinate of the initial point from the extit{y}-coordinate of the terminal point: 88 - 3 -3 = 8+38 + 3 = 1111.
  4. Combine components to form vector: Combine the components to form the vector.\newlineThe components of vector w\vec{w} are (13,11)(-13, 11), so w=(13,11)\vec{w} = (-13, 11).

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