Two-dimensional vectors and position: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
The position vectors are \(\mathbf a=\left[\begin{matrix}22\\3\end{matrix}\right],\mathbf b=\left[\begin{matrix}25\\6\end{matrix}\right]\).
Let \(\overrightarrow{OA}=\mathbf a\) and \(\overrightarrow{OB}=\mathbf b\).
Find the first component of AB.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Two-dimensional vectors and position: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
The position vectors are \(\mathbf a=\left[\begin{matrix}23\\4\end{matrix}\right],\mathbf b=\left[\begin{matrix}27\\8\end{matrix}\right]\).
Let \(\overrightarrow{OA}=\mathbf a\) and \(\overrightarrow{OB}=\mathbf b\).
Find the first component of AB.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Two-dimensional vectors and position: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
The position vectors are \(\mathbf a=\left[\begin{matrix}23\\4\end{matrix}\right],\mathbf b=\left[\begin{matrix}27\\8\end{matrix}\right]\).
Let \(\overrightarrow{OA}=\mathbf a\) and \(\overrightarrow{OB}=\mathbf b\).
Find the second component of AB.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Two-dimensional vectors and position: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
The position vectors are \(\mathbf a=\left[\begin{matrix}24\\5\end{matrix}\right],\mathbf b=\left[\begin{matrix}29\\10\end{matrix}\right]\).
Let \(\overrightarrow{OA}=\mathbf a\) and \(\overrightarrow{OB}=\mathbf b\).
Find the second component of AB.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Two-dimensional vectors and position: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
The position vectors are \(\mathbf a=\left[\begin{matrix}24\\5\end{matrix}\right],\mathbf b=\left[\begin{matrix}29\\10\end{matrix}\right]\).
Let \(\overrightarrow{OA}=\mathbf a\) and \(\overrightarrow{OB}=\mathbf b\).
Find the midpoint x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Two-dimensional vectors and position: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
The position vectors are \(\mathbf a=\left[\begin{matrix}25\\6\end{matrix}\right],\mathbf b=\left[\begin{matrix}27\\9\end{matrix}\right]\).
Let \(\overrightarrow{OA}=\mathbf a\) and \(\overrightarrow{OB}=\mathbf b\).
Find the midpoint x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Two-dimensional vectors and position: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
The position vectors are \(\mathbf a=\left[\begin{matrix}25\\6\end{matrix}\right],\mathbf b=\left[\begin{matrix}27\\9\end{matrix}\right]\).
Let \(\overrightarrow{OA}=\mathbf a\) and \(\overrightarrow{OB}=\mathbf b\).
Find \(\displaystyle |AB|^{2}\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Two-dimensional vectors and position: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
The position vectors are \(\mathbf a=\left[\begin{matrix}26\\2\end{matrix}\right],\mathbf b=\left[\begin{matrix}29\\6\end{matrix}\right]\).
Let \(\overrightarrow{OA}=\mathbf a\) and \(\overrightarrow{OB}=\mathbf b\).
Find \(\displaystyle |AB|^{2}\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.