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Year 12 Maths Extension 1 (2027) Vectors

Operating with vectors in two dimensions

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Question 1
182974

Two non-zero vectors \(\mathbf{a}\) and \(\mathbf{b}\) are \(\textbf{parallel}\) if:

A.
\(\mathbf{a}=k\mathbf{b}\) for some scalar \(k\)
B.
\(\mathbf{a}\cdot\mathbf{b}=0\)
C.
\(|\mathbf{a}|=|\mathbf{b}|\)
D.
\(\mathbf{a}+\mathbf{b}=\mathbf{0}\)
\(\mathbf{a}=k\mathbf{b}\) for some scalar \(k\)

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