Working with Vectors (AQA A-Level Mathematics): Quizzes

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Working with Vectors
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What two properties do vectors represent?

Magnitude & direction

For a vector A⃗\vec{A} with magnitude AA and angle θ\theta, what is AxA_x?

Acos⁡θA \cos \theta

Using components, what is A⃗+B⃗\vec{A} + \vec{B}?

(Ax+Bx)i^+(Ay+By)j^(A_x+B_x)\hat{i}+(A_y+B_y)\hat{j}

What is the magnitude of vector A⃗\vec{A} with components AxA_x and AyA_y?

Ax2+Ay2\sqrt{A_x^2 + A_y^2}

How is the direction angle θ\theta of vector A⃗\vec{A} measured?

Counter clockwise from +ve xx-axis

What is the scalar product A⃗⋅B⃗\vec{A} \cdot \vec{B} in terms of magnitudes?

∣A⃗∣∣B⃗∣cos⁡θ|\vec{A}| |\vec{B}| \cos \theta

What type of quantity is the scalar product A⃗⋅B⃗\vec{A} \cdot \vec{B}?

A scalar quantity

What is the magnitude of the vector product ∣A⃗×B⃗∣|\vec{A} \times \vec{B}|?

∣A⃗∣∣B⃗∣sin⁡θ|\vec{A}| |\vec{B}| \sin \theta

What condition must be met for an object to be in equilibrium?

Resultant force is zero

How is velocity analysed in projectile motion?

Break into horizontal & vertical parts

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