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

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Forces in 2D - Vector Notation
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How is a force represented as a vector in 2D?

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

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

Fx=Fcos(θ)F_x = F \cos(\theta)

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

Fy=Fsin(θ)F_y = F \sin(\theta)

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

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

What is the component equation for horizontal forces?

Fx=max\sum F_x = m a_x

In a parallelogram, what property do opposite sides have?

Equal and parallel

Given parallelogram ABCDABCD: A(2,1,2)A(2,1,2), B(3,7,1)B(3,7,1), C(6,4,2)C(6,4,-2). Find position vector of DD.

(5,8,7)(5, -8, 7)

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

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

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

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

Given A(2,7,9)A(2,7,9) and B(3,1,7)B(3,-1,7), what is AB|\overrightarrow{AB}|?

69\sqrt{69}

What is the first step when approaching 2D force problems using vector notation?

Express forces as vectors

What is the component equation for vertical forces?

Fy=may\sum F_y = m a_y

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