Given vectors a = [3, 2] and b = [4, 2], find the column vector p = 5a − 2b.

6.

a) Column vector P.

Step 1: Substitute the given vectors $\vec{a}$ and $\vec{b}$ into the expression for $\vec{p}$.

$$\vec{p} = 5\vec{a} - 2\vec{b}$$ $$\vec{p} = 5 \begin{pmatrix} 3 \\ 2 \end{pmatrix} - 2 \begin{pmatrix} 4 \\ 2 \end{pmatrix}$$

Step 2: Perform scalar multiplication.

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