Forces in 2D - Vector Notation (AQA A-Level Mathematics): Quizzes

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Forces in 2D - Vector Notation
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How is a force expressed as a vector in component form?

F=(FxFy)\mathbf{F} = \begin{pmatrix} F_x \\ F_y \end{pmatrix}

What is the formula for the horizontal component of a force at angle θ\theta?

Fx=Fcos(θ)F_x = F \cos(\theta)

What is the formula for the vertical component of a force at angle θ\theta?

Fy=Fsin(θ)F_y = F \sin(\theta)

Which equation represents Newton's second law in vector form?

Fnet=ma\mathbf{F}_{\text{net}} = m\mathbf{a}

What are the component equations for forces in 2D?

Fx=max\sum F_x = m a_x and Fy=may\sum F_y = m a_y

In a parallelogram ABCDABCD, which vectors are equal?

BC=AD\overrightarrow{BC} = \overrightarrow{AD}

What is the formula for the magnitude of a 3D vector a=(xyz)\overrightarrow{a} = \begin{pmatrix} x \\ y \\ z \end{pmatrix}?

a=x2+y2+z2|\overrightarrow{a}| = \sqrt{x^2 + y^2 + z^2}

How do you find the vector AB\overrightarrow{AB} from point AA to point BB?

AB=BA\overrightarrow{AB} = \overrightarrow{B} - \overrightarrow{A}

If AB=(182)\overrightarrow{AB} = \begin{pmatrix} 1 \\ -8 \\ -2 \end{pmatrix}, what is AB|\overrightarrow{AB}|?

69\sqrt{69}

What is the first step when approaching forces in 2D using vector notation?

Express forces as vectors

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