Ch9 - Chapter 9 Easy Find the cross product of: csci+ (sin...

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Chapter 9 Easy Find the cross product of: cscθi+ (sinθ + (cos 2 θ/sinθ))j+ (ln(e) – 6ln(1))k and θ ln(1) i + j + sinθk Solution: |cscθ sinθ+(cos 2 θ/sinθ) ln(e) – 6ln(1)| ln(1) 1 sinθ | = (sin 2 θ + cos 2 θ -0)i – (cscθsinθ – 1)j + (cscθ – (sinθ+(cos 2 θ/sinθ))k = i – 0j + (1/sinθ –sinθ – cos 2 θ/sinθ)k = i + (1/sinθ – sin 2 θ/sinθ - cos 2 θ/sinθ) = i + (1-(sin 2 θ + cos 2 θ)/sinθ)k = i Medium Find the equation of the plane that passes through the points: P(1, 3, 2); Q(3, -1, 6); R(5, 2, 0) PQ= <2, -4, 4> PR= <4, -1, -2> PQ x PR = |2 -4
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This note was uploaded on 01/25/2009 for the course MA 242 taught by Professor Bliss during the Spring '08 term at N.C. State.

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