Unformatted text preview: (a) s + ( a Â· w ) (b) a Ã— b (c) u Ã— v (d) ( a Â· b ) Ã— c 2. (12 points) Let a = i + 2 j be a vector in R 2 . (a) Find a vector in R 2 the same direction as a that has length 2. (b) Find a nonzero vector in R 2 that is perpendicular to a . 3. (6 points) A triangle has vertices A ( âˆ’ 1 , , 1), B (0 , 2 , 1) and C (0 , , 4). Find its area. 4. (5 points) Find an equation for the plane through the point (1 , 2 , 1) which is perpendicular to the vector 2 i âˆ’ j + k . Do NOT leave vectors in your answer. 5. (5 points) Find the distance from the point (3 , 2 , 1) to the plane whose equation is a 1 , 2 , âˆ’ 3 A Â· r = 2. (As usual r = x i + y j + z k = a x,y,z A .) END OF EXAM...
View
Full Document
 Fall '06
 staff
 Math, Calculus, Distance, Vector Motors, blue book

Click to edit the document details