Respuesta :
Using vector concepts, it is found that the component form of u - v is (-8,-6), option a.
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- The component form of a vector is given by its terminal point subtracted by its initial point.
- The subtraction of vectors is the subtraction of its components.
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- Vector u has initial point at (6,8).
- Vector u has terminal point at (3,-2).
Thus, the component form of vector u is:
[tex]u = (3,-2) - (6,8) = (3-6, -2-8) = (-3,-10)[/tex]
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- Vector v has initial point at (-4,-3).
- Vector v has terminal point at (1,-7).
Thus, the component form of vector v is:
[tex]v = (1,-7) - (-4,-3) = (1 - (-4), -7 - (-3)) = (1 + 4, -7 + 3) = (5,-4)[/tex]
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The subtraction of vectors u and v is the subtraction of it's components, thus:
[tex]u - v = (-3,-10) - (5, -4) = (-3 - 5, -10 - (-4)) = (-8, -10 + 4) = (-8,-6)[/tex]
The component form of u - v is (-8,-6), option a.
A similar problem is given at https://brainly.com/question/16407090
