Position vectors, displacement vectors and distance Problem set B Answers

1. (a) \(\begin{pmatrix}9 \\ -5 \\ -5\end{pmatrix}\)
2. (b) \(\begin{pmatrix}-9 \\ 5 \\ 5\end{pmatrix}\)

\(4\mathbf{i}-3\mathbf{j}-7\mathbf{k}\)

1. (a) \(2 \sqrt{17}\)
2. (b) \(6\)

1. (a) \(7\)
2. (b) \(\sqrt{14}\)

\(38.8\) cm

\(\begin{pmatrix}-2 \\ 4 \\ 11\end{pmatrix}\)

1. (a) \(AB=\sqrt{34},\ AC=\sqrt{34},\ BC=2 \sqrt{14}\)
2. (b) AB = AC, so the triangle is isosceles.

1. (a) \(AB^2=21,\ BC^2=20,\ AC^2=41\)
2. (b) \(21+20=41\)