The vector product rule: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(a=\left[\begin{matrix}13\\1\\0\end{matrix}\right],\ b=\left[\begin{matrix}0\\1\\14\end{matrix}\right]\). Let \(\displaystyle c=a\times b\).
Find the first component of c.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The vector product rule: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(a=\left[\begin{matrix}14\\1\\0\end{matrix}\right],\ b=\left[\begin{matrix}0\\1\\15\end{matrix}\right]\). Let \(\displaystyle c=a\times b\).
Find the first component of c.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The vector product rule: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(a=\left[\begin{matrix}14\\1\\0\end{matrix}\right],\ b=\left[\begin{matrix}0\\1\\15\end{matrix}\right]\). Let \(\displaystyle c=a\times b\).
Find the second component of c.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The vector product rule: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(a=\left[\begin{matrix}15\\1\\0\end{matrix}\right],\ b=\left[\begin{matrix}0\\1\\16\end{matrix}\right]\). Let \(\displaystyle c=a\times b\).
Find the second component of c.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The vector product rule: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(a=\left[\begin{matrix}15\\1\\0\end{matrix}\right],\ b=\left[\begin{matrix}0\\1\\16\end{matrix}\right]\). Let \(\displaystyle c=a\times b\).
Find the area of the parallelogram spanned by a and b.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The vector product rule: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(a=\left[\begin{matrix}16\\1\\0\end{matrix}\right],\ b=\left[\begin{matrix}0\\1\\17\end{matrix}\right]\). Let \(\displaystyle c=a\times b\).
Find the area of the parallelogram spanned by a and b.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The vector product rule: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(a=\left[\begin{matrix}16\\1\\0\end{matrix}\right],\ b=\left[\begin{matrix}0\\1\\17\end{matrix}\right]\). Let \(\displaystyle c=a\times b\).
Find the signed scalar triple product (a×b)·(1,0,1).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
The vector product rule: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(a=\left[\begin{matrix}17\\1\\0\end{matrix}\right],\ b=\left[\begin{matrix}0\\1\\18\end{matrix}\right]\). Let \(\displaystyle c=a\times b\).
Find the signed scalar triple product (a×b)·(1,0,1).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.