A line passes through the points whose position vectors are `hat i+hat j-2hat k` and `hat i-3hat j+hat k` the position vector of a point on the line at a unit distance from the first point is

A line passes through two points whose position vectors A(hat i+hat j-2hat k) and B(hat i-3hat j+hat k) .Then the position vector of a point on it at a unit distance from A and closet to B

A line passes through two points whose position vectors A(hat i+hat j-2hat k) and B(hat i-3hat j+hat k) .Then the position vector of a point on it at a unit distance from A and closet to B

Show that the points whose position vectors are 5hat i+5hat k,2hat i+hat j+3hat k and -4hat i+3hat j-hat k are collinear

Points A and B have position vectors (5hat i-2hat j+4hat k) and (hat i+3hat j-7hat k) then find |vec AB|

Find the distance between the points A and B with position vectors hat i-hat j and 2hat i+hat j+2hat k.

The position vectors of A and B are 2hat i+hat j-hat k and hat i+2hat j+3hat k respectively. The position vector of the point which divides the line segment AB in the ratio 2:3 is

The position vectors of A and B are 2hat i+hat j-hat k and hat i+2hat j+3hat k respectively. The position vector of the point which divides the line segment AB in the ratio 2:3 is

A line passes through a point A with position voctor 3hat i+hat j-hat k and is parallel to the vector 2hat i-hat j+2hat k .If P is a point on this line such that AP=15 units,then the position vector of the point P is/are

Find the vector equation of the plane passing through three points with position vectors hat i+hat j-2hat k,hat i-hat j+hat k and hat i+2hat j+hat k .Also find the coordinates of the point of intersection of this plane and the line vec r=3hat i-hat j-hat k+lambda(2hat i-2hat j+hat k)

Find the vector equation of the plane passing through three points with position vectors hat i+hat j-2hat k2hat i-hat j+hat k and hat i+2hat j+hat k Also find the coordinates of the point of intersection of this plane and the line vec r=3hat i-hat j-hat k+lambda(2hat i-2hat j+hat k)