Vectors

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Question 11

In a particle physics experiment, relative to a fixed origin $O$ , particle $L\,$ is at position $\mathbf{i} + 4\mathbf{j} + 2\mathbf{k})$ , particle $M\,$ is at $(2i+j+8k)(2\mathbf{i} + \mathbf{j} + 8\mathbf{k})$ , and particle $N\,$ is at $(3i−3j+6k)(3\mathbf{i} - 3\mathbf{j} + 6\mathbf{k})$ .

a.

Find the vector $MN⃗\vec{MN}$ .

[2]

b.

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

[3]

Vectors

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Question 11

In a particle physics experiment, relative to a fixed origin $O$ , particle $L\,$ is at position $\mathbf{i} + 4\mathbf{j} + 2\mathbf{k})$ , particle $M\,$ is at $(2i+j+8k)(2\mathbf{i} + \mathbf{j} + 8\mathbf{k})$ , and particle $N\,$ is at $(3i−3j+6k)(3\mathbf{i} - 3\mathbf{j} + 6\mathbf{k})$ .

a.

Find the vector $MN⃗\vec{MN}$ .

[2]

b.

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

[3]

Vectors

Question 11

Vectors Questions

Vectors

Question 11

Vectors Questions