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

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Working with Vectors
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What two properties do vectors represent in mechanics?

Magnitude and direction

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

AcosθA \cos \theta

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

AsinθA \sin \theta

In the head-to-tail rule, where is the tail of B\vec{B} placed when adding to A\vec{A}?

At the head of A\vec{A}

How can vector subtraction AB\vec{A} - \vec{B} be viewed?

Adding a negative vector

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

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

From which axis is the direction angle θ\theta measured counter clockwise?

Positive xx-axis

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

A scalar quantity

What is the formula for the scalar product AB\vec{A} \cdot \vec{B}?

ABcosθ|\vec{A}| |\vec{B}| \cos \theta

Where is the vector product A×B\vec{A} \times \vec{B} perpendicular to?

The plane containing A\vec{A} & B\vec{B}

What is the magnitude formula for vector product A×B\vec{A} \times \vec{B}?

ABsinθ|\vec{A}| |\vec{B}| \sin \theta

What is the condition for an object to be in equilibrium?

The resultant force is zero

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