Vectors Quiz
Make sure to try these on a piece of paper first
Let $latex \vec{v}=\begin{pmatrix}
1\\
2\\
3
\end{pmatrix}$, and $latex \vec{w}=\begin{pmatrix}
-3\\
1\\
2
\end{pmatrix}$.
If $latex \vec{u}=\vec{v}-2\vec{w}$, find the magnitude of vector $latex \vec{u}$.
Let $latex \vec{u}=\begin{pmatrix} 3\\ k\\ -2 \end{pmatrix}$, and $latex \vec{v}=\begin{pmatrix} 5\\ -2\\ 7 \end{pmatrix}$, for $latex k>0$. The angle between $latex \vec{u}$ and $latex \vec{v}$ is $latex \frac{\pi }{2}$ radians.
Find the value of k.
This question is part of theMath SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)
This question is part of theMath SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)
This question is part of theMath SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)
This question is part of theMath SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)
This question is part of theMath SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)
This question is part of theMath SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)
This question is part of theMath SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)
This question is part of theMath SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)