The Vector Equation of a Line The Angle Between 2 Lines 13C.

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Presentation transcript:

The Vector Equation of a Line The Angle Between 2 Lines 13C

The Angle Between 2 Lines The angle between 2 vectors is in the range 0 ≤ θ ≤ 180° b1b1 b2b2 And we used the formula:

The Angle Between 2 Lines When the lines go infinitely, we usually refer to the acute angle. So, Cosθ > 0 b1b1 b2b2 And we used the formula: b 1 and b 2 are the direction vectors L1L1 L2L2

The Angle Between 2 Lines Find the angle between the lines What do these represent?

The Angle Between 2 Lines Find the angle between the lines What do you notice? Since b 1 = b 2, the lines are parallel and the angle between them is 0°

The Angle Between 2 Lines Find the ACUTE angle between the lines If a line has a gradient of Then it has a direction vector of

The Angle Between 2 Lines

Homework Page 327 (1 – 5)

The Angle Between 2 Lines