Vectors in 2 Dimensions (Edexcel A-Level Mathematics): Quizzes

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Vector Addition
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What two properties do vectors possess?

Magnitude and direction

In the geometric method, how are vectors positioned for addition?

Head to tail

Where is the resultant vector drawn in the geometric method?

From tail of first to head of last

If A\mathbf{A} = 3 units and B\mathbf{B} = 4 units at right angles, what is ∣R∣|\mathbf{R}|?

5 units

What is the formula for the xx-component of the resultant vector?

Rx=Ax+BxR_x = A_x + B_x

What is the formula for the yy-component of the resultant vector?

Ry=Ay+ByR_y = A_y + B_y

If A=(3,4)\mathbf{A} = (3, 4) and B=(1,−2)\mathbf{B} = (1, -2), what is R\mathbf{R}?

(4,2)(4, 2)

What is the magnitude formula for a resultant vector?

∣R∣=Rx2+Ry2|\mathbf{R}| = \sqrt{R_x^2 + R_y^2}

What formula gives the direction angle θ\theta of a resultant vector?

θ=tan⁡−1(RyRx)\theta = \tan^{-1}\left(\frac{R_y}{R_x}\right)

Which method is described as precise and useful for complex problems?

Algebraic method

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