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In Class Questions MATH 151-Fall 02 September 5 Some definitions also found in Stewart: − → The orthogonal compliment of the vector → a =< a1 , a2 > is − a ⊥ =< −a2 , a1 > The scalar projection of vector b onto a, denoted compa b = projection of b onto a. → − − → a · b , is the length of the vector → |− a| → − 1. Find a vector that is orthogonal to b = 4i − 5j. 2. Find the angle between these vectors. < 4, 5 > and < −10, 5 > 3. Find the vector equation and the parametric equation of the line thru the points (8, 7) and (10, 5). 4. Find the distance between the point (−1, 1) and y = −4x + 12 5. Sketch the graph and give the Cartesian equation of the curve defined parametrically as x(t) = 3 cos θ and y(t) = 2 sin θ and 0 ≤ θ ≤ π. 6. Are these lines parallel? perpendicular? Do they intersect and if yes then where? → − r1 (t) =< 1, 1 > +t < 5, 9 > → − r2 (s) =< 3, −2 > +s < 6, 7 >