第 1 題
1 分Given the vectors \(\mathbf{a} = \begin{pmatrix} 3 \\ 4 \end{pmatrix}\) and \(\mathbf{b} = \begin{pmatrix} -1 \\ 2 \end{pmatrix}\), calculate the resultant vector \(\mathbf{a} + \mathbf{b}\).
Cambridge IGCSE · Mathematics (0580)
Vectors in two dimensions：練習題
5 條多項選擇題即時批改，另有 1 條文字題附完整解題步驟，全部圍繞「Vectors in two dimensions」。
6 條題目7 分免費，無需登記
第 2 題
1 分Point \(A\) has coordinates \((2, 5)\) and point \(B\) has coordinates \((7, -3)\). Express the vector \(\vec{AB}\) as a column vector.
第 3 題
1 分The vector \(\mathbf{m} = \begin{pmatrix} 4 \\ x \end{pmatrix}\) is parallel to the vector \(\mathbf{n} = \begin{pmatrix} -2 \\ 5 \end{pmatrix}\). Find the value of \(x\).
第 4 題
1 分Calculate the magnitude of the vector \(\mathbf{v} = \begin{pmatrix} 5 \\ -12 \end{pmatrix}\).
第 5 題
1 分The magnitude of the vector \(\mathbf{u} = \begin{pmatrix} k \\ 8 \end{pmatrix}\) is 10 units. Given that \(k > 0\), find the value of \(k\).
第 6 題
2 分Given the vectors \(\mathbf{a} = \begin{pmatrix} 3 \\ -2 \end{pmatrix}\) and \(\mathbf{b} = \begin{pmatrix} 1 \\ 5 \end{pmatrix}\), calculate the resultant vector of \(2\mathbf{a} + \mathbf{b}\).
先自己寫一次答案，再對照解題步驟。
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