And form the consecutive sides of a regular hexagon

MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors

Problem

\mathbf{a}

and

\mathbf{b}

form the consecutive sides of a regular hexagon

ABCDEF

Column I	Column II
a. If $\mathbf{CD} = x\mathbf{a} + y\mathbf{b}$ , then	p. $x = -2$
b. If $\mathbf{CE} = x\mathbf{a} + y\mathbf{b}$ , then	q. $x = -1$
c. If $\mathbf{AE} = x\mathbf{a} + y\mathbf{b}$ , then	r. $y = 1$
d. If $\mathbf{AD} = -x\mathbf{b}$ , then	s. $y = 2$