Graphical and Algebraic Methods (Grade 11 NSC Matric Physical Sciences): Flashcards

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Graphical and Algebraic Methods
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Resultant vector definition

Single vector with same effect as multiple vectors combined

Two main methods to find resultant

Graphical methods and algebraic methods

What graphical methods involve

Drawing vectors to scale and using measurements

Tail-to-head method

Fundamental technique for adding vectors graphically

Where resultant goes in tail-to-head

From first tail to last head

What algebraic methods use

Mathematical calculations instead of scale drawings

Formula for magnitude in 2D

R=Rx2+Ry2R = \sqrt{R_x^2 + R_y^2}

Formula for direction angle

tan⁡α=RyRx\tan α = \frac{R_y}{R_x}

1D vector addition steps

Choose +ve direction, assign signs, add algebraically

More accurate method for calculations

Algebraic methods

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