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Unformatted text preview: . Solution: Since u · v = h a,a,b i · h 1 ,1 , i = aa = 0 , then u and v are perpendicular to each other, and the projection of u onto v is . 12.4 # 34 (6 points): Find the two unit vectors orthogonal to both a = h 3 , 1 , 1 i and b = h1 , 2 , 1 i . Solution : The cross product is a vector perpendicular to both a and b : a × b = h 12 ,13 , 6(1) i = h1 ,4 , 7 i . So the two unit vectors perpendicular to both a and b are ± e a × b = a × b  a × b  = ± 1 √ 66 h1 ,4 , 7 i ....
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This note was uploaded on 03/28/2011 for the course MATH 20C taught by Professor Helton during the Winter '08 term at UCSD.
 Winter '08
 Helton
 Math

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