Parallel and perpendicular lines (HSC SSCE Mathematics Extension 2): Quizzes

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Parallel and Perpendicular Lines in 3D
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What is a 3D vector represented as?

(x, y, z)

What defines a direction vector in 3D?

Both length and direction

What is the general form of a line in 3D?

r(t) = r0 + t*d

When are two lines considered parallel?

Multiples of direction vectors

What indicates perpendicular lines in 3D?

Dot product is zero

What is a key feature of skew lines?

They are neither parallel nor intersecting

What does the dot product of vectors indicate?

Angle

What is the role of parameter t in line equations?

Finds points on the line

Which software can help visualize 3D lines?

GeoGebra

What is the significance of direction vectors?

They distinguish lines

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