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10 cards from this deck
Quantities with magnitude and direction
Ax=AcosθA_x = A \cos \thetaAx=Acosθ
Ay=AsinθA_y = A \sin \thetaAy=Asinθ
R⃗=(Ax+Bx)i^+(Ay+By)j^\vec{R} = (A_x + B_x) \hat{i} + (A_y + B_y) \hat{j}R=(Ax+Bx)i^+(Ay+By)j^
∣A⃗∣=Ax2+Ay2|\vec{A}| = \sqrt{A_x^2 + A_y^2}∣A∣=Ax2+Ay2
θ=tan−1(AyAx)\theta = \tan^{-1} \left(\frac{A_y}{A_x}\right)θ=tan−1(AxAy)
A⃗⋅B⃗=∣A⃗∣∣B⃗∣cosθ\vec{A} \cdot \vec{B} = |\vec{A}| |\vec{B}| \cos \thetaA⋅B=∣A∣∣B∣cosθ
A⃗⋅B⃗=AxBx+AyBy\vec{A} \cdot \vec{B} = A_x B_x + A_y B_yA⋅B=AxBx+AyBy
∣A⃗×B⃗∣=∣A⃗∣∣B⃗∣sinθ|\vec{A} \times \vec{B}| = |\vec{A}| |\vec{B}| \sin \theta∣A×B∣=∣A∣∣B∣sinθ
Resultant force is zero: ∑F⃗=0⃗\sum \vec{F} = \vec{0}∑F=0
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