Q. 94.2( 29 Votes )

Answer :

We know that

The vector equation of as line which passes through two points whose position vectors are and is .

Here, the position vectors of the two points (3, –2, –5) and (3, –2, 6) are and , respectively.

So, the vector equation of the required line is:

⇒

⇒

⇒

Now, we also know that

Cartesian equation of a line that passes through two points (x_{1}, y_{1}, z_{1}) and (x_{2}, y_{2}, z_{2}) is

So, the Cartesian equation of the line that passes through the origin (3, -2, -5) and (3, -2, 6) is

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