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Displacement and a specified magnitude

Displacement and a specified magnitude

5 marks
TGM Original
The position vectors of A and B are -2 i+ j and 4 i+9 j. Find AB in column form, its magnitude, the unit vector from A towards B, and the vector of magnitude 15 in the opposite direction.

Solution:

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Answer:\(\begin{pmatrix}6\\8\end{pmatrix},\ 10,\ \begin{pmatrix}\frac35\\\frac45\end{pmatrix},\ \begin{pmatrix}-9\\-12\end{pmatrix}\)

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