Find the value of 'n' such that the vectors 2i+5j-8k and 4i+8j-nk may be orthogonal - Physics - Motion In A Straight Line

Question

Find the value of 'n' such that the vectors
2i+5j-8k and
4i+8j-nk may be
orthogonal

dssgaayathri... · Answer

since the vectors are orthoganal,dot product of vectors is
zero
(2i+5j-8k) (4i+8j-nk)=0
=>(2 4)+(5 8)+(-8 -n)=0
=>8+40+8n=0
=>8n=-48
=>n= -48

Find the value of 'n' such that the vectors 2i+5j-8k and 4i+8j-nk may be orthogonal.