R-AESPE-8

Why is it important?

• Very significant in yr 12 course, but this time in yr 12 its in 3 dimensions, compared to 2 dimensions for yr 11

A quick overview

• A vector is a quantity with magnitude and direction.

  • This distinguishes it from being an ordinary number in mathematics.

• A measurement of distance for example is not a vector quantity, it is just a scalar (a number(purely magnitude))

• A measurement of distance and direction(displacement) is a vector quantity.

• Ways of representing vectors

• Specification of magnitude and direction e.g. 10km at 030$\degree$

• An arrow(usually drawn roughly to scale)

• Component form

A sidenote

• Sadler 3A contains basically bearing questions, where you need to use non-right triangle trigonometry.

e.g. A boat sails 15 km on a bearing 170$\degree$ followed by 9 km due East. Fine the distance and bearing of the boat's final position from its initial position.

• Sadler 3B is when you must obtain a resultant force vector from two force vectors acting together.

e.g. two forces act on a weight as shown. Find the resultant force vector.

Sets to work on

• Sadler 3A 3B

  • Suggestion: just the odd questions

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