) The point of intersection of L1 and L2 will satisfy r=r′
‌⇒3
^
i
+λ(−
^
i
+
^
j
+
^
k
)=
^
i
+
^
j
+λ′(
^
i
+
^
k
) ‌⇒(3−λ)
^
i
+λ
^
j
+λ
^
k
=(1+λ′)
^
i
+
^
j
+λ′
^
k
‌⇒3−λ=1+λ′‌ and ‌λ=1 ‌⇒λ=1‌ and ‌λ′=1 Substituting the value of λ in (i), we get the point of intersection. ∴‌‌ The point of intersection of lines L1 and L2 has p.v. 2