Vectors in Two Dimensions (Leaving Cert Physics): Flashcards

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Vectors in Two Dimensions
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What is a vector?

Quantity with both magnitude and direction

Difference: scalar vs vector

Scalar: magnitude only. Vector: magnitude + direction

Parallelogram law: diagonal represents

Resultant vector

Triangle law alternative name

Head-to-tail method

Magnitude formula for perpendicular vectors

a2+b2\sqrt{a^2 + b^2}

Formula for resultant direction

tan⁡θ=oppositeadjacent\tan \theta = \frac{\text{opposite}}{\text{adjacent}}

Unit for force

Newton (N)

What resultant vector does

Replaces component vectors with same physical effect

3 forces at rest: resultant of 2 vs 3rd

Equal magnitude, opposite direction

Parallelogram vs triangle law results

Both give exactly the same result

Vectors in 2D: directional capability

Can point in any direction within a plane

When to use Pythagoras for vectors

When two vectors are perpendicular (at 90°)

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