Problem of the Day The angle formed by placing the vectors [4,0] and [a,b] tail-to-tail at the origin is 124 degrees. The length of [a,b] is 12. Find a.

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Presentation transcript:

Problem of the Day The angle formed by placing the vectors [4,0] and [a,b] tail-to-tail at the origin is 124 degrees. The length of [a,b] is 12. Find a and b.

Angles Between Lines Objective : to be able to find the angle of inclination of a line,and find the angle between two lines TS: Explicitly assessing information & drawing conclusions Warm Up: What was the formula for tan(x – y) again?

Angle of Inclination

Example: Find the angle of inclination for the line 2x – y + 3 = 0 Find the equation of the line with a y-intercept of 3 and an angle of inclination of 3π/4

Angle Between Two Lines

Example: Find the acute angle formed by the lines 2x + 3y = 4 and x – 4y + 3 = 0

Finding the angles of the triangle (2,3) (-1,-5) (4,3)