Mathematics for IGCSE & O level - Vectors (Section 2 - No. 22)

Given \(\vec{AB} = 2\vec{i} + 3\vec{j}\) and \(\vec{BC} = -\vec{i} + \vec{j}\), then \(\vec{AC}\) is:
\(\vec{i} + 4\vec{j}\)
\(3\vec{i} + 4\vec{j}\)
\(\vec{i} + 2\vec{j}\)
\( \vec{i} - 2\vec{j} \)

Explanation

AC = AB + BC = (2i + 3j) + (-i + j) = i + 4j

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