# Previous answers holtlinalg1 81012 find all values of

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3/3 points | Previous Answers HoltLinAlg1 8.1.012. Find all values of a so that u and v are orthogonal. (Enter your answers as a comma-separated list.) Solution or Explanation || u 5 u 1 || = = = = 3 1 1 4 1 3 7 0 2 7 2 + 0 2 + ( 2 ) 2 53 || u 2 u 8 || = = = = 1 1 1 1 1 4 2 2 3 2 2 + 2 2 + ( 3 ) 2 17 || 3 u 3 u 8 || = ( 3 ) = = = 3 0 1 1 1 4 8 1 1 ( 8 ) 2 + 1 2 + ( 1) 2 66 ||4 u 2 ( 2 u 6 )|| = 4 ( 2) = = = = 2 1 1 1 0 4 1 4 12 2 4 2 + ( 12 ) 2 + 2 2 164 41 u = , v = 1 4 a 0 5 1 a 4 a =  3,3 u · v = · = (1)( 5 ) + ( 4 )(1) + a ( a ) + 0( 4 ) = a 2 9 a = ± 3 . 1 4 a 0 5 1 a 4
3. 3/3 points | Previous Answers HoltLinAlg1 8.1.019. Find all values of a and b (if any) so that the given vectors form an orthogonal set. (If an answer does not exist, enter DNE.) 1 3 4 2 2 a b 4. 3/3 points | Previous Answers HoltLinAlg1 8.1.026. Suppose that u 1 and u 2 are orthogonal vectors, with and Find 3 = 2 1 3 4 2 2 a b 4 , 6 . .