IB Mathematics Applications & Interpretation Question Type 4: Determining the Unit Vector of a Given Vector Exercises

Find the magnitude and unit vector of $\vec{v}=(1,-1,1,-1)$

Find the magnitude and unit vector of $\vec{v}=\left(\begin{array}{c}0\\ 5\\ -5\end{array}\right)$.

Find the magnitude and unit vector of $\vec{v}=\left(\begin{array}{c}-5\\ 12\end{array}\right)$.

Find the magnitude and unit vector of $\vec{v}=(k,4k)$, assuming $k\ne 0$

Find the magnitude and unit vector of $\vec{v}=(1.2,-2.4,3.6)$

Find the magnitude and unit vector of $\vec{v}=(3,0,4,0)$

Find the magnitude and unit vector of $\vec{v}=\left(\begin{array}{c}3\\ -3\\ 1\end{array}\right)$.

Find the magnitude and unit vector of $\vec{v}=\left(\begin{array}{c}3\\ 4\end{array}\right)$.

Find the magnitude and the unit vector of the vector $\vec{v}=(2,5,6,1)$.

Find the magnitude and unit vector of $\vec{v}=\left(\begin{array}{c}7\\ -24\end{array}\right)$.

Find the magnitude and the unit vector of the vector $\mathbf{v}=(2,-2,1)$.

Find the magnitude and unit vector of the vector $\vec{v}=\left(\begin{array}{c}1\\ 2\\ 2\end{array}\right)$.