Question

In Problems 19–22, .

Find the vector $v_1+2v_2-v_3$.

Short answer

$v_1+2v_2-v_3=6\hat{i}-10\hat{j}$or

Step-by-step solution

Step 1. Given information

The given vectors are

Step 2. Find the value of v1+2v2-v3

$$\begin{gathered} v_1+2v_2-v_3 \\ =4\hat{i}+6\hat{j}+2\left(-3\hat{i}-6\hat{j}\right)-\left(-8\hat{i}+4\hat{j}\right) \\ =4\hat{i}+6\hat{j}-6\hat{i}-12\hat{j}+8\hat{i}-4\hat{j} \\ =6\hat{i}-10\hat{j} \end{gathered}$$