Three-dimensional position and displacement vectors: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A has position vector \(\left[\begin{matrix}17\\2\\1\end{matrix}\right]\) and B has position vector \(\left[\begin{matrix}19\\4\\5\end{matrix}\right]\).
Find the x-component of AB.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Three-dimensional position and displacement vectors: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A has position vector \(\left[\begin{matrix}18\\2\\2\end{matrix}\right]\) and B has position vector \(\left[\begin{matrix}21\\5\\7\end{matrix}\right]\).
Find the x-component of AB.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Three-dimensional position and displacement vectors: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A has position vector \(\left[\begin{matrix}18\\2\\2\end{matrix}\right]\) and B has position vector \(\left[\begin{matrix}21\\5\\7\end{matrix}\right]\).
Find the z-component of AB.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Three-dimensional position and displacement vectors: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A has position vector \(\left[\begin{matrix}19\\2\\3\end{matrix}\right]\) and B has position vector \(\left[\begin{matrix}20\\6\\9\end{matrix}\right]\).
Find the z-component of AB.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Three-dimensional position and displacement vectors: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A has position vector \(\left[\begin{matrix}19\\2\\3\end{matrix}\right]\) and B has position vector \(\left[\begin{matrix}20\\6\\9\end{matrix}\right]\).
Find \(\displaystyle |AB|^{2}\).
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Three-dimensional position and displacement vectors: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A has position vector \(\left[\begin{matrix}20\\2\\4\end{matrix}\right]\) and B has position vector \(\left[\begin{matrix}22\\7\\11\end{matrix}\right]\).
Find \(\displaystyle |AB|^{2}\).
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Three-dimensional position and displacement vectors: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A has position vector \(\left[\begin{matrix}20\\2\\4\end{matrix}\right]\) and B has position vector \(\left[\begin{matrix}22\\7\\11\end{matrix}\right]\).
Find the midpoint x-coordinate.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Three-dimensional position and displacement vectors: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A has position vector \(\left[\begin{matrix}21\\2\\1\end{matrix}\right]\) and B has position vector \(\left[\begin{matrix}24\\4\\4\end{matrix}\right]\).
Find the midpoint x-coordinate.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.