A point on the line `bar r=(1-t)(2 bar i+3 bar j+4 bar k)+t(3 bar i-2 bar j+2 bar k)`

A point on the line bar(r)=(1-t)(2bar(i)+3bar(j)+4bar(k))+t(3bar(i)-2bar(j)+2bar(k)) is

bar (a) = 2bar (i) + 3bar (j) -bar (k), bar (b) = bar (i) + 2bar (j) -4bar (k), bar (c) = bar (i) + bar (j) + bar (k), bar (d) = bar (i) -bar (j) -bar (k) then

Find the shortest distance between the skew lines . bar(r)=(6bar(i)+2bar(j)+2bar(k))+t(bar(i)-2bar(j)+2bar(k))andbar(r)=(-4bar(i)-bar(k))+s(3bar(i)-2bar(j)-2bar(k))

Find the vector area and area of the triangle with vertices bar(i) + bar(j)-bar(k), 2bar(i)- 3bar(j) + bar(k), 3 bar(i) + bar(j)- 2bar(k) .

Find the distance between the planes bar(r) * ( 2 bar(i) - bar(j) + 3 bar(k)) = 4 and bar(r) * ( 6 bar(i) - 3 bar(j) + 9 bar(k)) + 13 = 0