AQA · Mathematics · 8300
GCSE Maths: Vectors: Column
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Vectors: Column (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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How do you add two column vectors?
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Add the corresponding components: top component + top component, bottom component + bottom component.
How do you subtract one column vector from another?
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Subtract the corresponding components: top component − top component, bottom component − bottom component.
How do you multiply a column vector by a scalar?
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Multiply each component of the vector by the scalar.
The vector 2a means multiply vector a by the ? 2.
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scalar
What does the negative of a vector (−v) mean geometrically?
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A vector with the same magnitude but opposite direction. Each component changes sign.
When computing 3a + 2b with column vectors, which operation do you perform first?
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Scalar multiplication (3a and 2b), then add the resulting vectors.
If vector a = (3, −7) and you multiply by scalar 3, what is 3a?
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(9, −21). Multiply each component: 3×3 = 9 and 3×(−7) = −21.
What is the result of (5, −4) + (−3, −5) as a column vector?
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(2, −9). Add components: 5 + (−3) = 2 and −4 + (−5) = −9.
How do you compute a − b when working with column vectors?
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This is equivalent to a + (−b). Subtract each component of b from the corresponding component of a.
When solving for unknowns in vector equations like a + b = (−8, −1), what principle do you use?
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Equate corresponding components. The top components must be equal, and the bottom components must be equal.
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