Get Answers to all your Questions

header-bg qa

State True and False for the given statement:

The equation of a line, which is parallel to 2 \hat{i}+\hat{j}+3\hat{k} and which passes through (5, -2, 4) is \frac{x-5}{2}=\frac{y+2}{-1}=\frac{z-4}{3}

Answers (1)

We know, the equation of a line in Cartesian form is


, where a, b and c are the direction ratios and (x1, y1, z1) is a     particular point on the line.

The given line is parallel to therefore it has 2, 1, 3 as direction ratios.

(a = 2, b = 1, c = 3)

The line passes through (5, -2, 4)

Substituting these values, we get the equation of line:


Thus, the given statement is False.

Posted by


View full answer