Ch 7 Applications of Trigonometry and Vectors
Ch 7.1 Oblique Triangles and the Law of Sines :
The Law of Sines: The Basics :
Solving the Triangle with A=48°, B=54°, a=12.5ft
http://www.youtube.com/watch?v=dxYVBbSXYkA
Solving the Triangle with C=102°, b=5m, c=18m
http://www.youtube.com/watch?v=LzdDALbFlxY
Finding the Distance Across the Canyon
http://www.youtube.com/watch?v=VqapJYCG31k
Finding the Distance of the Campsite from the Base of the Mountain and the Time Needed to the Base
http://www.youtube.com/watch?v=az3JAqNMGt4
Determining the Length of X
http://www.youtube.com/watch?v=9l23gPNAs_g
Determining the Distance from the Tower to the Airplane
Determining the Elevation of the Airplane
http://www.youtube.com/watch?v=6dEvIdTJ708
Determining the Area of a Triangle with A=35°, a=6cm, a=15cm
Determining the Area of a Triangle with B=72°, a=23.7 ft, b=25.2 ft
http://www.youtube.com/watch?v=mBFDq4bPXMs
Ch 7.2 The Ambiguous Case of the Law of Sines
Solving the Triangle with C=82°, a=11m, c=7m;
Solving the Triangle with A=88°, a=110ft, c=54ft;
Solving the Triangle with B=40°, b=22cm, a=30cm
http://www.youtube.com/watch?v=ETqe-_plC3Y
Solving SSA (Side, Side, Angle) Triangle (Ambiguous Case) with One solution given a=76, c=52, A=39° http://www.youtube.com/watch?v=CXU-zGTfHGM&feature=plcp
Solving SSA (Side, Side, Angle) Triangle (Ambiguous Case) with Two solutions given a=52, b=63, A=42° http://www.youtube.com/watch?v=sXn_rkJE3WI&feature=plcp
Solving SSA (Side, Side, Angle) Triangle (Ambiguous Case) with No solutions given a=48, c=68, A=86° http://www.youtube.com/watch?v=u8zLE0buKPY&eature=plcp
Ch 7.3 The Law of Cosines
Solving Triangle ABC with B= 73.1°, a= 24.2 ft, c= 43.7 ft
Solving Triangle ABC with a= 25.4cm, a=42.8cm, c=59.3cm
http://www.youtube.com/watch?v=hBzKRHH_grk
Determining the Diagonal of a Parallelogram
http://www.youtube.com/watch?v=_NyWGW6Pu1w
Determining the Length of the Tunnel and the Bid Amount after 20% profit off the Cost
Determining the Duration of Service a Person gets when She is Driving Past a Transmission Tower at a Certain Speed
http://www.youtube.com/watch?v=1SvHQNBGU6Q
Determining the Flying Distance of A plane From Her Starting Position
http://www.youtube.com/watch?v=wu29Zdk_PZA
The Law of Cosines: Applications – Determining the Largest Angle of the Three Sides
http://www.youtube.com/watch?v=-U97mrpL_aE
Determining the Areas of Triangles Using Heron’s Area Formula
http://www.youtube.com/watch?v=Pi56pFy-8HU
Ch 7.4 Vectors, Operations, and the Dot Product
Introduction to Vectors :
http://www.youtube.com/watch?v=IKzR0Odurm0
Vector Basics – Drawing Vectors/ Vector Addition
http://www.youtube.com/watch?feature=player_embedded&v=pimr9I92GZY
Finding x and y Components of a Vector with a Magnitude of 8 and at an Angle of 60° from the Origin
http://www.youtube.com/watch?feature=player_embedded&v=-fbCI2qcgRk
Finding x and y Components of Vectors
http://www.youtube.com/watch?v=R9f1t-OP358&feature=player_embedded
Drawing the Vector v=<2,3>;
Drawing the Vector v=<–3,4>;
Finding the Vector AB of (2, 1) and (5, 6)
http://www.youtube.com/watch?v=odhAVmAahb4&feature=player_embedded
Adding v+u and v+u+w where v=<2, 2>, u=<3, 0> and w=<0, –6>;
Multiplying 10u where u=<1, 4>;
Simplifying u–2w where u=<1,4> and w=<–2, 3>
http://www.youtube.com/watch?feature=player_embedded&v=IUzoNG4-MIc
Finding the Magnitude and Direction of Vector <–3, 4>
http://www.youtube.com/watch?v=WxWJorOVIj8&feature=player_embedded
Finding the Magnitude and Direction of Vector <–2, –5>
http://www.youtube.com/watch?v=-gokuNjpyNg&feature=player_embedded
Finding the Magnitude and Direction of Vector <2, 6> and <3, –10>
http://www.youtube.com/watch?v=ZDMm8mtDWhE&feature=player_embedded
Finding Dot Products a·b where a=<2, 5> and b=<–3, 1>;
Finding the Angle of a=6i–2j–3k and b=i+j+k;
Determining if a=<2, 4> and b=<4, –2> are Orthogonal
http://www.youtube.com/watch?v=98C7iv8OcnI&feature=player_embedded
Finding Dot Product u·v and u(v+w) Givern v=<-1, 5> andw=<–3, 1>;
Angle Between Two Vectors;
Parallel and Orthogonal Vectors;
Finding the Angle Between u=<-2, 3> and v=<1, -5>;
Determining if Two Vectors u=<-4, 2> and v=<1, 2> are Orthogonal;
Definition of the Component of Vector a along Vector b; http://www.youtube.com/watch?v=c5mSscgulIXg&list=PL554F9F460401DF50&index=38&feature=plpp_video
Ch 7.5 Applications of Vectors
Finding the Distance between the Ship and the Port and its Bearing
Finding the Direction and Magnitude of the Resultant Force of Two Trucking Pulling on a Truck Stuck in the Mud
http://www.youtube.com/watch?v=53UdTRt_re0
Definition of Work Done;
Finding the Force required to Keep the Piano from Rolling Down the Ramp;
Finding the Work Done needed for a Man to Push the Broom for a Distance http://www.youtube.com/watch?v=c5mSscgulXg&list=PL554F9F460401DF50&index=38&feature=plpp_video (The Last Three Parts of the Video)
Finding the Magnitude and Direction of the Resulting Force of Two Forces Acting on an Airplane http://www.youtube.com/watch?v=X5xPr2WIboM&feature=plcp
Finding the work needed to Push a Vehicle to the Gas Station http://www.youtube.com/watch?v=UhKg-jSgsjk&feature=plcp
