# Gcse maths vectors help

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#1
I have attached the question below.

I don't understand how EF= 6a

Shouldn't it be -6a+6b since the sides in a regular hexagon are equal?
Last edited by action123; 1 month ago
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1 month ago
#2
(Original post by action123)
I have attached the question below.

I don't understand how EF= 6a

Shouldn't it be -6a+6b since the sides in a regular hexagon are equal?
A vector contains both length and direction. For the two sides mentioned, the lengths are the same but the directions different. 6a is correct as EF = OA.
So the sides in a hexagon are composed of different vectors, which have the same length. Obviously, a side is parallel to the opposite side.
Last edited by mqb2766; 1 month ago
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#3
(Original post by mqb2766)
A vector contains both length and direction. For the two sides mentioned, the lengths are the same but the directions different. 6a is correct as EF = OA.
So the sides in a hexagon are composed of different vectors, which have the same length. Obviously, a side is parallel to the opposite side.
So it's 6a becasue it's parallel to the given side?
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1 month ago
#4
(Original post by action123)
So it's 6a becasue it's parallel to the given side?
Same length and direction. So same vector.
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