This is linear Algebra question based on Elementary Linear A

This is linear Algebra question based on \"Elementary Linear Algebra\" by Ron, Larson; Seventh Edition. Please present solutions in sufficient details.

4 E) Find the value- C are or ago tual. respect (tie orche reap haga

Solution

a) if two vectors are orthogonal then thier dot product is eqaul to zero

so (2*4)+(7*c)+(c+2*-3)+(3*c)=0

8+7c-3c-6+3c=0

c=-2/7

b)We want [a,b,c] with a, b, and c satisfying