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Determine for each value of p the set of all vectors z that are orthogonal to the three vectors (1,1,1), (2,-3,2), (3,-2,p).

Determine for each value of p the set of all vectors z that are orthogonal to the three vectors (1,1,1), (2,-3,2), (3,-2,p).

Grade:12th pass

1 Answers

Vikas TU
14149 Points
4 years ago
Dear student 
These three vectors are erpendicular to each other , so, Their dot product must be equal to zero, 
Taking (1,1,1)
So, 3-2+p =0 
p = -1 
Taking (2,-3,2)
6+6+2p =0 
p= -6 
Hope this helps 

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