Question

Writing Vectors in Terms of$i$and $j$Write the given vector in terms of$i$and $j$

$\mathbf{u}=⟨1,4⟩$.

Short answer

The vector $\mathbf{u}=⟨1,4⟩$ in terms of $i$ and $j$ can be written as $i+4j$.

Step-by-step solution

Step 1.Given information.

Given: $\mathbf{u}=⟨1,4⟩$

Step 2. To write the given vector in terms of i and j.

Write the given vector $⟨1,4⟩$as coefficient of $i$and $j$respectively.

$\begin{array}{l}u=⟨1,4⟩\\ u=1\left(i\right)+4\left(j\right)\\ u=i+4j\end{array}$