If the equations of a line A B are 3-x 1-y-2-2-z-54- write the direction ratios of a line parallel to A B-

We have 3 x1=y+2 2=z 54 The equation of the line AB can be re written as x 3 1=y+2 2=z 54 Thus, the direction ratios of the line parallel to AB are proporti ...

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Standard XII

Mathematics

Equation of a Plane Parallel to a Given Plane

If the equati...

Question

If the equations of a line AB are $\frac{3 - x}{1} = \frac{y + 2}{- 2} = \frac{z - 5}{4},$ write the direction ratios of a line parallel to AB.

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Solution

We have

$\frac{3 - x}{1} = \frac{y + 2}{- 2} = \frac{z - 5}{4}$

The equation of the line AB can be re-written as

$\frac{x - 3}{- 1} = \frac{y + 2}{- 2} = \frac{z - 5}{4}$

Thus, the direction ratios of the line parallel to AB are proportional to $-$ 1, $-$ 2, 4.

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Similar questions

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If the equations of a line AB are 3-x1=y+2-2=z-54, write the direction ratios of a line parallel to AB.

We have 3-x1=y+2-2=z-54 The equation of the line AB can be re-written as x-3-1=y+2-2=z-54 Thus, the direction ratios of the line parallel to AB are proportional to -1, -2, 4.

If the equations of a line AB are $\frac{3 - x}{1} = \frac{y + 2}{- 2} = \frac{z - 5}{4},$ write the direction ratios of a line parallel to AB.

We have

$\frac{3 - x}{1} = \frac{y + 2}{- 2} = \frac{z - 5}{4}$

The equation of the line AB can be re-written as

$\frac{x - 3}{- 1} = \frac{y + 2}{- 2} = \frac{z - 5}{4}$

Thus, the direction ratios of the line parallel to AB are proportional to $-$ 1, $-$ 2, 4.