Question
The vector $\mathbf{v}$ has initial point $P$ and terminal point $Q .$ Write $\mathbf{v}$ in the form $a \mathbf{i}+b \mathbf{j}+c \mathbf{k} ;$ that is, find its position vector.$P=(-2,-1,4) ; \quad Q=(6,-2,4)$
Step 1
It is given by $\mathbf{v} = (x_2 - x_1)\mathbf{i} + (y_2 - y_1)\mathbf{j} + (z_2 - z_1)\mathbf{k}$, where $(x_1, y_1, z_1)$ are the coordinates of the initial point and $(x_2, y_2, z_2)$ are the coordinates of the terminal point. Show more…
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