Question

A point on the line $\overline{r}=2\overline{i}+3\overline{j}+4\overline{k}+t(\overline{i}+\overline{j}+\overline{k})$ is

• A. $(2014,2015,2016)$
• B. $(2013,2015,2017)$
• C. $(2013,2014,2017)$
• D. $(0,0,0)$

Answer 1

Answer: (A)

$(2014,2015,2016)$

$\overrightarrow{r}$=2$\hat{i}+3\hat{j}+4\hat{k}+t(\hat{i}+\hat{j}+\hat{k})$

or

$\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{1}=t$

$x=y-1=z-2$

$x$ can be $2014$ then $y=2015$ , $z=2016$

A is correctt.