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Q: What is the difference between a scalar and a vector quantity?

A: A scalar quantity is one that is described only by a magnitude.
A vector quantity is described by both a magnitude AND a direction.

If I say, “I walked 4 kilometres to the store” 4 kilometres is a scalar quantity, because only magnitude is specified.

If I say, “I walked east for 5 kilometres” I am specifiying the direction and magnitude, so it becomes a vector quantity.

Vectors are usually denoted by drawing an arrow above the symbol, like this: vec{d}

Q: What does my teacher mean when he says use the ‘Tip-to-tail’ method for drawing vectors?

A: He means to make sure that when you draw your vectors the tip (or head) of vector 1 touches the tail of vector 2.