Vectors

There are 23 NRICH Mathematical resources connected to Vectors
From point to point
problem

From point to point

Age
14 to 16
Challenge level
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Can you combine vectors to get from one point to another?
Vector journeys
problem

Vector journeys

Age
14 to 18
Challenge level
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Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?
Nine Eigen
problem

Nine Eigen

Age
16 to 18
Challenge level
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Explore how matrices can fix vectors and vector directions.
Matrix meaning
problem

Matrix meaning

Age
16 to 18
Challenge level
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Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
Polygon walk
problem

Polygon walk

Age
16 to 18
Challenge level
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Go on a vector walk and determine which points on the walk are closest to the origin.
Fix me or crush me
problem

Fix me or crush me

Age
16 to 18
Challenge level
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Can you make matrices which will fix one lucky vector and crush another to zero?
Coordinated crystals
problem

Coordinated crystals

Age
16 to 18
Challenge level
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Explore the lattice and vector structure of this crystal.
Vector walk
problem

Vector walk

Age
14 to 18
Challenge level
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Starting with two basic vector steps, which destinations can you reach on a vector walk?
Spotting the loophole
problem

Spotting the loophole

Age
14 to 16
Challenge level
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A visualisation problem in which you search for vectors which sum to zero from a jumble of arrows. Will your eyes be quicker than algebra?
Areas of parallelograms
problem

Areas of parallelograms

Age
14 to 16
Challenge level
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Can you find the area of a parallelogram defined by two vectors?