Question

If the direction ratios of two parallel lines are \( a, b, c \) and \( x, y, z \), then \( az = \dots \)?

• A. cy
• B. cx
• C. bz
• D. ax

Hint:

For parallel lines, the corresponding direction ratios are proportional. Use the proportionality to find the relationships between the direction ratios.

Answer 1

The Correct Option is C

For two parallel lines, the direction ratios are proportional. This means the corresponding direction ratios of both lines should be proportional to each other. If we have direction ratios \( a, b, c \) for the first line and \( x, y, z \) for the second line, we have: \[ \frac{a}{x} = \frac{b}{y} = \frac{c}{z}. \] From this, we can find that \( az = bx \), which means the correct relation between the direction ratios is \( az = bz \).