Q. Vector w has an initial point (6,−3) and a terminal point (−7,8).Find the components of vector w.w=(□,□)
Identify initial and terminal points: Identify the initial and terminal points of the vector. The initial point of vector w is (6,−3), and the terminal point is (−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.
Calculate horizontal component: Calculate the horizontal (x) component of the vector. The x component is found by subtracting the x-coordinate of the initial point from the x-coordinate of the terminal point: (−7)−(6)=−7−6=−13.
Calculate vertical component: Calculate the vertical ( extit{y}) component of the vector.The extit{y} component is found by subtracting the extit{y}-coordinate of the initial point from the extit{y}-coordinate of the terminal point: 8 - −3 = 8+3 = 11.
Combine components to form vector: Combine the components to form the vector.The components of vector w are (−13,11), so w=(−13,11).
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