Vectors

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Question 8

Relative to a fixed origin $O$ , a drone $P\,$ has position vector $(3i+2j−k)(3\mathbf{i} + 2\mathbf{j} - \mathbf{k})$ , a drone $Q\,$ has position vector $(7i+5j+3k)(7\mathbf{i} + 5\mathbf{j} + 3\mathbf{k})$ , and a drone $R\,$ has position vector $(4i+3j+4k)(4\mathbf{i} + 3\mathbf{j} + 4\mathbf{k})$ .

a.

Find the vector $QR⃗\vec{QR}$ .

[2]

b.

Show that the quadrilateral $OPQR\,$ is a parallelogram, giving reasons for your answer.

[3]

Vectors

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Question 8

Relative to a fixed origin $O$ , a drone $P\,$ has position vector $(3i+2j−k)(3\mathbf{i} + 2\mathbf{j} - \mathbf{k})$ , a drone $Q\,$ has position vector $(7i+5j+3k)(7\mathbf{i} + 5\mathbf{j} + 3\mathbf{k})$ , and a drone $R\,$ has position vector $(4i+3j+4k)(4\mathbf{i} + 3\mathbf{j} + 4\mathbf{k})$ .

a.

Find the vector $QR⃗\vec{QR}$ .

[2]

b.

Show that the quadrilateral $OPQR\,$ is a parallelogram, giving reasons for your answer.

[3]

Vectors

Question 8

Vectors Questions

Vectors

Question 8

Vectors Questions