Vectors

A vector diagram showing points O, X, Y, and M. Vector OX is labeled 6a and vector OY is labeled 10b. M is the midpoint of the line segment XY.

The diagram shows a triangle $O X Y$ .

\vec{OX} = 6\mathbf{a}

\vec{OY} = 10\mathbf{b}

M is the midpoint of $X Y$

a.

Find, in terms of $a\mathbf{a}$ and $b\mathbf{b}$ , the vector $XY⃗\vec{XY}$ .

[1]

b.

Find, in terms of $a\mathbf{a}$ and $b\mathbf{b}$ , the vector $XM⃗\vec{XM}$ .

[1]

c.

Find, in terms of $a\mathbf{a}$ and $b\mathbf{b}$ , the vector $OM⃗\vec{OM}$ .

[2]

Vectors

A vector diagram showing points O, X, Y, and M. Vector OX is labeled 6a and vector OY is labeled 10b. M is the midpoint of the line segment XY.

The diagram shows a triangle $O X Y$ .

\vec{OX} = 6\mathbf{a}

\vec{OY} = 10\mathbf{b}

M is the midpoint of $X Y$

a.

Find, in terms of $a\mathbf{a}$ and $b\mathbf{b}$ , the vector $XY⃗\vec{XY}$ .

[1]

b.

Find, in terms of $a\mathbf{a}$ and $b\mathbf{b}$ , the vector $XM⃗\vec{XM}$ .

[1]

c.

Find, in terms of $a\mathbf{a}$ and $b\mathbf{b}$ , the vector $OM⃗\vec{OM}$ .

[2]

Vectors

Vectors Questions