Math Problem Statement
Determine whether the given vectors are orthogonal, parallel, or neither. a=<-5,3,7>, b=<6,-8,2>
Solution
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Math Problem Analysis
Mathematical Concepts
Vector Algebra
Dot Product
Vector Parallelism
Formulas
Dot product: a · b = a1*b1 + a2*b2 + a3*b3
Parallelism: a1/b1 = a2/b2 = a3/b3
Theorems
Conditions for orthogonality (dot product equals zero)
Conditions for parallelism (scalar multiples)
Suitable Grade Level
Grades 10-12
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