Vectors

A vector diagram showing points O, J, K, and M. Vector OJ is labeled 7p and vector OK is labeled 5q. M is the midpoint of the line segment JK.

The diagram shows a triangle $O J K$ .

\vec{OJ} = 7\mathbf{p}

\vec{OK} = 5\mathbf{q}

M is the midpoint of $J K$

a.

Find, in terms of $p\mathbf{p}$ and $q\mathbf{q}$ , the vector $JK⃗\vec{JK}$ .

[1]

b.

Find, in terms of $p\mathbf{p}$ and $q\mathbf{q}$ , the vector $JM⃗\vec{JM}$ .

[1]

c.

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

[2]

Vectors

A vector diagram showing points O, J, K, and M. Vector OJ is labeled 7p and vector OK is labeled 5q. M is the midpoint of the line segment JK.

The diagram shows a triangle $O J K$ .

\vec{OJ} = 7\mathbf{p}

\vec{OK} = 5\mathbf{q}

M is the midpoint of $J K$

a.

Find, in terms of $p\mathbf{p}$ and $q\mathbf{q}$ , the vector $JK⃗\vec{JK}$ .

[1]

b.

Find, in terms of $p\mathbf{p}$ and $q\mathbf{q}$ , the vector $JM⃗\vec{JM}$ .

[1]

c.

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

[2]

Vectors

Vectors Questions