What is vector \(\mathbf{v}\) in terms of \(\mathbf{i}\) and \(\mathbf{j}\) when \(P_1 = (5, 5)\) and \(P_2 = (-3, -2)\)?

To find the vector representation between the points (5,5) and (-3,-2), we need to find the difference in the x and y components. To do this we just need to do (-3-5) and (-2-5) this gives us an i component of -8 and a j component of -7 Final answer: v=-8i-7j Hope I helped :) And PS, eventually you will get to three dimensions which uses i j and k ;)

Answered by FirstSineOfMadness | 2024-06-10

The vector v from point ( 5 , 5 ) to point ( − 3 , − 2 ) can be expressed as v = − 8 i − 7 j . To calculate v , subtract the coordinates of the points according to the vector formula. This results in the vector representation in terms of the unit vectors i and j .
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Answered by FirstSineOfMadness | 2024-12-26