# Vectors Quiz

## Make sure to try these on a piece of paper first

#4-1 Paper 1 Difficulty: Medium

Let $\vec{v}=\begin{pmatrix} 1\\ 2\\ 3 \end{pmatrix}$, and $\vec{w}=\begin{pmatrix} -3\\ 1\\ 2 \end{pmatrix}$.

If $\vec{u}=\vec{v}-2\vec{w}$, find the magnitude of vector $\vec{u}$.

#4-2 Paper 1 Difficulty: Medium

Let $\vec{u}=\begin{pmatrix} 3\\ k\\ -2 \end{pmatrix}$, and $\vec{v}=\begin{pmatrix} 5\\ -2\\ 7 \end{pmatrix}$, for $k>0$. The angle between $\vec{u}$ and $\vec{v}$ is $\frac{\pi }{2}$ radians.

Find the value of k.

#4-3 Paper 1 Difficulty: Hard

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#4-4 Paper 1 Difficulty: Easy

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#4-5 Paper 2 Difficulty: Medium

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#4-6 Paper 1 Difficulty: Medium

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#4-7 Paper 2 Difficulty: Medium

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#4-8 Paper 2 Difficulty: Medium

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#4-9 Paper 2 Difficulty: Easy

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)

#4-10 Paper 1 Difficulty: Hard

This question is part of the Math SL Online Revision Course
(but keep in mind that at least the first question of each topic is free!)