Use the definition of the vector product and the defini- tions of the unit vectors î, j, and k to prove Equations 11.7. You may assume the x axis points to the right, the y axis up, and the z axis horizontally toward you (not away from you). This choice is said to make the coordinate system a right-handed system. î x i = j x j = k x k = 0 i xj = -j x î = k jx k = -k x j = i k x i= - i x k = }

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Use the definition of the vector product and the defini-
tions of the unit vectors î, j, and k to prove Equations 11.7.
You may assume the x axis points to the right, the y axis
up, and the z axis horizontally toward you (not away from
you). This choice is said to make the coordinate system a
right-handed system.
î x i = j x j = k x k = 0
i xj = -j x î = k
jx k = -k x j = i
k x i= - i x k = }
Transcribed Image Text:Use the definition of the vector product and the defini- tions of the unit vectors î, j, and k to prove Equations 11.7. You may assume the x axis points to the right, the y axis up, and the z axis horizontally toward you (not away from you). This choice is said to make the coordinate system a right-handed system. î x i = j x j = k x k = 0 i xj = -j x î = k jx k = -k x j = i k x i= - i x k = }
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