Question

Find the vector equation of the line through A(3,4,-7) and B(6,-1,1).

Answer 1

The line passes through A(3, 4, -7) and B(6,-1, 1).

Hence, the equation of line is $\overrightarrow{r}=\overrightarrow{a}+\lambda (\overrightarrow{b}-\overrightarrow{a})$

$\overrightarrow{r}$ = $3\hat{i}+4\hat{j}-7\hat{k}$$+\lambda$$(3\hat{i}-5\hat{j}+8\hat{k})$