Q. 155.0( 1 Vote )

# Find the vector e

Given : point A ≡ (2, 3, 2)

Equation of line :

To Find : i) equation of line

ii) distance d

Formulae :

1. Equation of line :

Equation of line passing through point A (a1, a2, a3) and parallel to vector is given by

Where,

2. Cross Product :

If are two vectors

then,

3. Dot Product :

If are two vectors

then,

4. Shortest distance between two parallel lines :

The shortest distance between the parallel lines and

is given by,

As the required line is parallel to the line

Therefore, the vector parallel to the required line is

Given point A ≡ (2, 3, 2)

Therefore, equation of line passing through A and parallel to is

Now, to calculate distance between above line and given line,

Here,

= 7

Therefore, the shortest distance between the given lines is

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Find the shortestMathematics - Board Papers

Show that the linMathematics - Board Papers

Find the shortestMathematics - Board Papers

Find the shortestMathematics - Board Papers