Vectors in Two Dimensions (Grade 11 NSC Matric Physical Sciences): Quizzes

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Components of Vectors
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What are vector components?

Parts of a vector in specific directions

Which formula gives the horizontal component of vector RR at angle θ\theta?

Rx=Rcos⁡(θ)R_x = R \cos(\theta)

Which formula gives the vertical component of vector RR at angle θ\theta?

Ry=Rsin⁡(θ)R_y = R \sin(\theta)

From where is angle θ\theta measured for vector components?

Counter-clockwise from positive x-axis

In the second quadrant, what are the component signs?

x-component negative, y-component positive

How do you add vectors using the component method?

Add all x-components, then all y-components

What formula finds the magnitude of the resultant vector from its components?

R=Rx2+Ry2R = \sqrt{R_x^2 + R_y^2}

A force of 250 N at 30° has horizontal component Fx=250cos⁡(30°)F_x = 250 \cos(30°). What is FxF_x?

216.5 N

Which formula finds the angle of the resultant vector?

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

Which is NOT mentioned as a practical application of vector components?

Weather prediction

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