Obtain the equation of a line passing through a point A with Position vector `vec(a)` and parallel to a vector `vec(b)` both in vector and cartesion form.

If a line passing through the point with position vector vec(alpha) and parallel to vector vec(beta) then the vector equation of the line is-

Derive the equation of a line in 3D passing through two points A and B with position vectors vec(a) " and " vec(b) respectively both in vector and Cartesian form.

Write the vector equation of a line passing through a point having position vector vec alpha\ a n d parallel to vec A Bdot

Find the equation of a line which passes through a given point of position vector vec c and is parallel to a given vector vecb .

Show that equation of the plane passing through a point having position vector vec(a) and parallel to vec(b) and vec(c) is vec(r) = vec(a) + lambda vec(b) + mu vec(c) .

Derive the equation of a line in space passing through a given point and parallel to a given vector in both Vector an Cartesian form.

Derive the equation of a line in space passing through a given pont and parallel to a given vector in both vector and Cartesian form.

The vector equation of a Line passing through the point A(bar(a)) and parallel to bar(b) is

Derive the equation of the line in space passing through a point and parallel to a vector both in vector and cartesian form.