A line passes through a point A with position voctor `3hat i+hatj-hatk` 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

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

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

Find the vector equation of a line passing through a point with position vector 2hat i-hat j+hat k ,and parallel to the line joining the points -hat i+4hat j+hat k and hat i+2hat j+2hat k. Also, find the cartesian equivalent of this equation.

Find the vector equation of a line passing through the point with position vector hat i-2hat j-3hat k and parallel to the line joining the points with position vectors hat i-hat j+4hat k and 2hat i+hat j+2hat k. Also,find the cartesian equivalent of this equation.

A line passes through the point with position vector 2hat(i)-3hat(j)+4hat(k) and is in the diretion of 3hat(i)+4hat(j)-5hat(k) . Find the equation of the line is vector and cartesian forms.

A line passes through the point with position vector 2hat(i)-3hat(j)+4hat(k) and is in the diretion of 3hat(i)+4hat(j)-5hat(k) . Find the equation of the line is vector and cartesian forms.

A line passes through the point A(5,-2.4) and it is parallel to the vector (2hat(i) -hat(j) +3hat(k)) .The vector equations of the line is