Sean los vectores A~ = ˆi − 2ˆj + 4ˆk, B~ = 2ˆi + ˆj − ˆk, C~ = ˆi − 2ˆj − ˆk. Calcular an´aliticamente:
a) A~ − 2B~ + C~
b) 2A~ − C~ + 3B~

Dado que tenemos los vectores:

\[
\mathbf{A} = \hat{i} - 2\hat{j} + 4\hat{k}
\]
\[
\mathbf{B} = 2\hat{i} + \hat{j} - \hat{k}
\]
\[
\mathbf{C} = \hat{i}

Explore analytical calculations of vector expressions involving vectors A = i - 2j + 4k, B = 2i + j - k, and C = i - 2j - k. Learn how to perform vector addition and scalar multiplication to solve expressions A - 2B + C and 2A - C + 3B analytically.

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