Reduction of cartesian form of a line to vector form and vice versa

Convert and vice versa.

Cartesian form OF line in 3D

Vector and cartesian equation of line

Intersection of two lines in cartesian form and vector form

Reduction of unsymmetrical form into symmetrical form

Conversion of a ratio into percent and vice versa

Conversion of percent into decimal and vice versa

Synaptic transmission takes place from axon to dendron and vice versa.

Write the cartesian equation of the following line given in vector form :vec r=2hat i+hat j-4hat k+lambda(hat i-hat j-hat k)

The foot of the perpendicular drawn from the origin O to a plane is N(12,-4,-3). Find the equation of the plane in cartesian form and vector form.