Physics 9702 · AS & A Level · Scalars and vectors

Scalars and vectors — practice question

The figure presents two vectors $X$ and $Y$. These vectors are at right angles to each other. Vector $X$ has magnitude $8.0\,\text{N}$, while vector $Y$ has magnitude $6.0\,\text{N}$. What are the magnitude and direction of vector $(X - Y)$?

  • A$10.0\,\text{N}$ at an angle of $37^\circ$ downwards from the direction of $X$
  • B$10.0\,\text{N}$ at an angle of $37^\circ$ upwards from the direction of $X$
  • C$14.0\,\text{N}$ at an angle of $53^\circ$ downwards from the direction of $X$
  • D$14.0\,\text{N}$ at an angle of $53^\circ$ upwards from the direction of $X$

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