Projections of vectors (HSC SSCE Mathematics Extension 1): Quizzes

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Projections of Vectors
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What is a vector projection?

A vector aligned with another

What does scalar projection represent?

The size of the vector projection

How is scalar projection calculated?

Using the dot product

What is the formula for vector projection?

a · b / ||b||^2

What do perpendicular components help with?

Recreating the original vector

What confirms the correctness of components?

Their dot product

Where are vector projections applied?

In graphics and physics

What is the first step in vector projection?

Identify the vectors

What does the dot product of components indicate?

Their orthogonality

What is the result of vector projection?

A new vector

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