ABCDE is pentagon. If the sum of the vectors AB, AE, BC, DC, ED and AC is λAC, then find the value of λ.
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Answer:
In △ABC,
AB
+
BC
+
CA
=0⟹
AB
+
BC
=
AC
In quadrilateral AEDC,
AE
+
ED
+
DC
+
CA
=0⟹
AE
+
ED
+
DC
=
AC
AB
+
BC
+
AE
+
ED
+
DC
+
AC
=
AC
+
AC
+
AC
=3
AC
⟹λ=3
Step-by-step explanation:
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