Which statement is right for conservative force vector F = Ai + Bj + C...
As given the vector is F = Ai + Bj + Ck, this implies that the x ,y and z-axis components of this vector is A, B and C respectively. But, in rectangular components representation of any vector, the vector is written as F = Fx + Fy + Fz.
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Which statement is right for conservative force vector F = Ai + Bj + C...
Rectangular Components Representation of Vector F:
The correct statement for the conservative force vector F = Ai Bj Ck is:
In rectangular components representation of any vector we have vector F = Fx Fy Fz
Explanation:
- When representing a vector in rectangular components, we typically use the notation F = Fx Fy Fz, where Fx, Fy, and Fz are the components of the vector in the x, y, and z directions respectively.
- In the given force vector F = Ai Bj Ck, A, B, and C are scalar constants representing the magnitudes of the vector components along the x, y, and z axes respectively.
- Therefore, in rectangular component form, the vector F would be represented as F = Ax By Cz, where Ax, By, and Cz are the components of the vector along the x, y, and z axes respectively.
- Hence, the correct representation for the conservative force vector F = Ai Bj Ck in rectangular components would be F = Fx Fy Fz, where Fx = A, Fy = B, and Fz = C.
Therefore, option 'C' is the correct statement for the given conservative force vector F = Ai Bj Ck in rectangular components representation.
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