AQA · Mathematics · 8300
GCSE Maths: Vectors
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Vectors (Corbettmaths Video 353), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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If B is the midpoint of segment OG, what vector relationship exists between OB and BG?
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OB = BG (they are equal vectors, since B divides OG into two equal parts).
How do you show that two vectors are parallel using algebra?
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Express one vector as a scalar multiple of the other (e.g., if vector p = k × vector q for some scalar k, then p and q are parallel).
In a parallelogram OBDE, how are the opposite sides related as vectors?
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Opposite sides are equal as vectors (e.g., OB = ED and OE = BD).
If hexagon GHIJKL is an enlargement of hexagon ABCDEF with scale factor 2, how are corresponding vectors related?
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Each vector in GHIJKL is twice the corresponding vector in ABCDEF (e.g., OG = 2 × OA).
If points D, F, and G lie on a straight line in that order, what vector equation relates DF and FG to DG?
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DG = DF + FG (vector addition along a straight line).
If DF : FG = 2:3 and D, F, G are collinear, how do you express DF in terms of DG?
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DF = (2/5) × DG (since DF is 2 parts out of a total of 5 parts along DG).
In trapezium ABCD where AB is parallel to DC and DC = 2AB, what is the vector relationship between AB and DC?
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DC = 2 × AB (DC is parallel to AB and twice as long, so it's the same direction but doubled magnitude).
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