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Extras Qs Ex 1: Two cars are travelling on intersecting roads. The first car is travelling northeast at 35 km/h. The second car begins 7 km north of the.

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Presentation on theme: "Extras Qs Ex 1: Two cars are travelling on intersecting roads. The first car is travelling northeast at 35 km/h. The second car begins 7 km north of the."— Presentation transcript:

1 Extras Qs Ex 1: Two cars are travelling on intersecting roads. The first car is travelling northeast at 35 km/h. The second car begins 7 km north of the first, and it is travelling east at 25 km/h. Assuming that these cars will continue at this rate, will they collide? Assign vector equations to each line and assume that the first car begins at the origin.

2 8.5 Scalar Equation of a Plane in Space
Car 1 start (0.0) Car 2 start (0,7) Path of car 1 Path of Car 2 Collide if we can make s=t

3 8.5 Scalar Equation of a Plane in Space
Solving for x and y the two equations will be: 1) 2) Solving gives Since the cars do NOT collide.

4 Extras Qs Ex 2: Let L1 be the line , Let L2 be the line , Find the intersection of these two lines, and then find the area of the triangle whose vertices are the intersection point, s =0 on L1 , and t=3 on L2 .

5 Extras Qs First find the point of intersection which you should find is P(-1,6). The other points of the triangle (when s=0 and t=3) are Q(2,9) and R(0,8). The area of the triangle will be :


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