[" The Cartesian form of the equation of plane "],[r*(hat i+hat j|+s|hat i-hat j+2hat k|+t(hat i+2hat j+hat k)" is "]

Find the Cartesian form of the equation of the following plane: vec r=( hat i- hat j)+s( hat i+ hat j+2 hat k)+t( hat i+2 hat j+ hat k)dot

Find the cartesian form of the equation of the plane . bar(r)=(hat(i)+hat(j))+s(hat(i)-hat(j)+2hat(k))+t(hat(i)+2hat(j)+hat(k))

Find the Cartesian form of the equation of the following plane: vec r=( hat i- hat j)+s(- hat i+ hat j+2 hat k)+t( hat i+2 hat j+ hat k)dot

A point on the line hat r=2hat i+3hat j+4hat k+t(hat i+hat j+hat k) is

Vector equation of the plane r=hat i-hat j+lambda(hat i+hat j+hat k)+mu(hat i2hat j+3hat k) in the scalar dot product form is

A point on the line vec r=2hat i+3hat j+4hat k+t(hat i+hat j+hat k) is

Equation of the plane containing the lines vec r=(hat i-2hat j+hat k)+t(hat i+2hat j-hat k)vec r=(hat i+2hat j-hat k)+s(hat i+hat j+3hat k) is

Evaluate the following: [ hat i\ hat j\ hat k]+[ hat j\ hat k\ hat i]+[ hat k\ hat i\ hat j] .