Answer to Question #172758 in Analytic Geometry for Yudhvir singh

Question

The line (x-1)/(3)=(y+1)/(4)=(z-2)/(3) passes through the point (4 2 3) check true or false

Answer 1

Solution.

Let's substitute the point $(4,2,3)$ in the equation of line:

$$\frac{4-1}{3}=\frac{2+1}{4}=\frac{3-2}{3}.$$

From here

$$1\neq\frac{3}{4}\neq\frac{1}{3}.$$

So, it's statement is false.