Advertisement Remove all ads

Find the equation of the line in vector and in Cartesian form that passes through the point with position vector `2hati -hatj+4hatk`  and is in the direction `hati + 2hatj - hatk`. - Mathematics

Find the equation of the line in vector and in Cartesian form that passes through the point with position vector `2hati -hatj+4hatk`  and is in the direction `hati + 2hatj - hatk`.

Advertisement Remove all ads

Solution

It is given that the line passes through the point with position vector

It is known that a line through a point with position vector `veca` and parallel to `vecb` is given by the equation, `vecr = veca + lambdavecb`

`=> vecr = 2hati - hatj +4hatk + lambda(hati+2hatj-hatk)`

This is the required equation of the line in vector form.

This is the required equation of the given line in Cartesian form.

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

NCERT Class 12 Maths
Chapter 11 Three Dimensional Geometry
Q 5 | Page 477
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×