Vector Algebra

Assertion A : If A, B, C, D are four points on a semi-circular are with centre at 'O' such that \(\left| {\overrightarrow {AB} } \right| = \left| {\overrightarrow {BC} } \right| = \left| {\overrightarrow {CD} } \right|\), then \(\overrightarrow {AB} + \overrightarrow {AC} + \overrightarrow {AD} = 4\overrightarrow {AO} + \overrightarrow {OB} + \overrightarrow {OC}\)

Reason R : Polygon law of vector addition yields \(\overrightarrow {AB} + \overrightarrow {BC} + \overrightarrow {CD} + \overrightarrow {AD} = 2\overrightarrow {AO}\)


In the light of the above statements, choose the most appropriate answer from the options given below :