Find the vector equation of the plane `vec r = 2hat i +hat j- 3hat k + lambda(2hat j +hat k) + mu(5 hat i +2hat j +hat k)` in scalar product form.

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

Find the vector equation of the following planes in Cartesian form: vec r=hat i-hat j+lambda(hat i+hat j+hat k)+mu(hat i-2hat j+3hat k)

Find the vector equation of the following plane in scalar product form: hat r=(hat i-hat j)+lambda(hat i+hat j+hat k)+mu(hat i-2hat j+3hat k)

Find the vector equation of the following plane in scalar product form vec r=(hat i-hat j)+lambda(hat i+2hat j-hat k)+mu(-hat i+hat j-2hat k)

Find the vector equation of the following plane in scalar product form: vec r=( hat i- hat j)+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k) .

Find the vector equation of the following plane in scalar product form: vec r=( hat i- hat j)+lambda( hat i+ hat j+ hat k)+mu( hat i-2 hat j+3 hat k)dot

Find the vector equation of the following planes in non parametric form: -> r=(2 hat i+2 hat j- hat k)+lambda( hat i+2 hat j+3 hat k)+mu(5 hat i-2 hat j+7 hat k)dot

Find the vector equation of the following planes in non parametric form: -> r=(2 hat i+2 hat j- hat k)+lambda( hat i+2 hat j+3 hat k)+mu(5 hat i-2 hat j+7 hat k)dot

Find the shortest distance between the lines vec r = (hat i + 2 hat j + hat k) + lambda (hat i - hat j + hat k) and vec r = ( 2 hat i - hat j - hat k) + mu ( 2 hat i + hat J + 2 hat k)