Vector Addition (AQA A-Level Mathematics): Quizzes

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Vector Addition
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What does the resultant vector represent in vector addition?

The combined effect of original vectors

What two properties do vectors have?

Magnitude and direction

In the geometric method, how are vectors arranged?

Head to tail

Where is the resultant vector drawn in the geometric method?

From tail of 1st to head of last

If A\mathbf{A} = 3 units east and B\mathbf{B} = 4 units north, what is ∣R∣|\mathbf{R}|?

5 units

In the algebraic method, how is RxR_x calculated?

Rx=Ax+BxR_x = A_x + B_x

What is the formula for the magnitude of resultant R\mathbf{R}?

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

What formula gives the direction angle θ\theta of R\mathbf{R} with the x-axis?

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

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

(4,2)(4, 2)

Which method provides visual understanding of vector addition?

Geometric method

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