The angle between the line
`r=(hat(i)+2hat(j)-hat(k))+lamda(hat(i)-hat(j)+hat(k))` and the plane `r*(2hat(i)-hat(j)+hat(k))=4` is

The acute angle between the line r=(hat(i)+2hat(j)+hat(k))+lamda(hat(i)+hat(j)+hat(k)) and the plane r*(2hat(i)+hat(j)+hat(k))=5

Find the angle between the line vec(r)=2hat(i)-hat(j)+2hat(k)=2hat(i)-hat(j)+2hat(k) the plane vec(r)*(2hat(i)-hat(j)+hat(k))

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

Find the angle between the line vec r=hat i+2hat j-hat k+lambda(hat i-hat j+hat k) and the plane vec r*(2hat i-hat j+hat k)=4

Find the angle between the lines vec r*(hat i+2hat j-hat k)+lambda(hat i-hat j+hat k) and the plane vec r*(2hat i-hat j+hat k)=4

Find the shortest distance between the lines vec(r)=(hat(i)+2hat(j)+hat(k))+lamda(hat(i)-hat(j)+hat(k)) and vec(r)=2hat(i)-hat(j)-hat(k)+mu(3hat(i)-hat(j)+hat(k))