Vector equation of a line: check 1
Difficulty: ★★☆Maths4U Original · Short practice
The line \(r=\left[\begin{matrix}11\\19\\3\end{matrix}\right]+t\left[\begin{matrix}1\\1\\1\end{matrix}\right]\) meets the plane \(x+2y+2z=12\).
Find the intersection parameter t.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Vector equation of a line: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
The line \(r=\left[\begin{matrix}12\\21\\3\end{matrix}\right]+t\left[\begin{matrix}1\\1\\1\end{matrix}\right]\) meets the plane \(x+2y+2z=13\).
Find the intersection parameter t.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Vector equation of a line: check 2
Difficulty: ★★☆Maths4U Original · Short practice
The line \(r=\left[\begin{matrix}12\\21\\3\end{matrix}\right]+t\left[\begin{matrix}1\\1\\1\end{matrix}\right]\) meets the plane \(x+2y+2z=13\).
Find the intersection x-coordinate.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Vector equation of a line: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
The line \(r=\left[\begin{matrix}13\\23\\3\end{matrix}\right]+t\left[\begin{matrix}1\\1\\1\end{matrix}\right]\) meets the plane \(x+2y+2z=14\).
Find the intersection x-coordinate.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Vector equation of a line: check 3
Difficulty: ★★☆Maths4U Original · Short practice
The line \(r=\left[\begin{matrix}13\\23\\3\end{matrix}\right]+t\left[\begin{matrix}1\\1\\1\end{matrix}\right]\) meets the plane \(x+2y+2z=14\).
Find the distance from P to the plane.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Vector equation of a line: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
The line \(r=\left[\begin{matrix}14\\25\\3\end{matrix}\right]+t\left[\begin{matrix}1\\1\\1\end{matrix}\right]\) meets the plane \(x+2y+2z=15\).
Find the distance from P to the plane.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Vector equation of a line: check 4
Difficulty: ★★☆Maths4U Original · Short practice
The line \(r=\left[\begin{matrix}14\\25\\3\end{matrix}\right]+t\left[\begin{matrix}1\\1\\1\end{matrix}\right]\) meets the plane \(x+2y+2z=15\).
Find the x-coordinate of the perpendicular foot from P.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Vector equation of a line: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
The line \(r=\left[\begin{matrix}15\\27\\3\end{matrix}\right]+t\left[\begin{matrix}1\\1\\1\end{matrix}\right]\) meets the plane \(x+2y+2z=16\).
Find the x-coordinate of the perpendicular foot from P.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.