Determine if the given vectors are orthogonal parallel or ne

Determine if the given vectors are orthogonal, parallel, or neither. u-6i-7, v=141 + 12j Determine the dot product u v. u. v Determine the value of u.V (Type an integer or decimal rounded to three decimal places as needed.) Are the given vectors u and v orthogonal, parallel, or neither? The given vectors are orthogonal. neither orthogonal nor parallel. parallel

Solution

u.v = 6*14 - 7*12

= 84 - 84

= 0

u.v / ||u|| ||v|| = 0 / sqrt ( 232) (sqrt 193) = 0

since the dot product between vectors is 0

the vectors are orthogonal