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# The lines and lie in a same plane. Based on this information answer the following. Equation of the plane containing both lines

- x+5y-3z=10
- x+6y+5z=20
- x+6y-5z=10
- None

Hint:

### Product of the coordinates of the points should be zero and then verify the lines.

## The correct answer is: x+6y-5z=10

### Given That:

The lines and lie in a same plane. Based on this information answer the following. Equation of the plane containing both lines

>>> The directional ratios of the given lines are: (3,2,1) and (1,-1,1-).

>>> Therefore, both remains in the same plane. Then,

3 -2+1- =0

= 2.

>>> The value of is 2.

>>> the equation of the line should satisfy the above points (3,2,1) and (1,-1,1-) becomes:

x+6y-5z=10.

>>> Therefore, the equation of the line becomes x+6y-5z=10.

Therefore, the equation of the line becomes x+6y-5z=10.

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