1103024302 | math4u.vsb.cz

SubArea:

Points and vectors

Level:

Project ID:

1103024302

Accepted:

1

Clonable:

0

Easy:

0

In a regular hexagon

A B C D E F

shown in the picture, let

\vec{a} = \vec{A B}

,

\vec{b} = \vec{B C}

,

\vec{c} = \vec{F D}

and

\vec{d} = \vec{C D}

. Express vectors

\vec{c}

and

\vec{d}

as a linear combination of vectors

\vec{a}

and

\vec{b}

.

\vec{c} = \vec{a} + \vec{b}; \vec{d} = \vec{b} - \vec{a}

\vec{c} = 2 \vec{a} + 2 \vec{b}; \vec{d} = 2 \vec{b} - 0.5 \vec{a}

\vec{c} = 2 \vec{a} + \vec{b}; \vec{d} = \vec{b} - \vec{a}

\vec{c} = \vec{a} + \vec{b}; \vec{d} = \vec{a} - \vec{b}