a) \(\begin{bmatrix}l & 0 \\ m & 0\\0 & l\\0 & m \end{bmatrix}\)
b) \(\begin{bmatrix}l & 0 \\0 & m \end{bmatrix}\)
c) \(\begin{bmatrix}l & m \end{bmatrix}\)
d) \(\begin{bmatrix}l & m & 0 & 0\\0 & 0 & l & m \end{bmatrix}\)
Answer: d
Explanation: The direct cosines l and m are introduced as l = cos θ and m=cos ф. These direction cosines are the cosines of the angles that the local x’-axis makes with the global x-, y- axes.
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