QUESTIONS - CDOG -VECTORS

QUESTIONS - ANSWERS - CDOG - VECTORS
cdog has left a new comment on your post "QUESTIONS - CDOG - VECTORS":

Hello, again. Can you please demonstrate how to solve the following two problems? Thanks. 1)Do there exist scalars k,l
HOPE YOU MEAN K AND L( YOU TYPED 1 OR L).PLEASE TYPE TO GIVE CLARITY AND LEAVE NO AMBIGUITY.
such that the vectors u=(2,k,6), v=(l,5,3)
IS THIS (L,5,3) OR (1,5,3)….TAKING AS (L,5,3)
and w=(1,2,3)
IS THIS (L,2,3) OR (1,2,3)?….TAKING AS (1,2,3)
are mutually orthogonal with respect to the Euclidean inner product?
HOPE YOU MEAN
U=(2,K,6)
V=(L,5,3) AND
W=(1,2,3).ASSUMING SO
U.V=2L+5K+18=0……………………….1
U.W=2+2K+18=0……K=-10………….2
V.W=L+10+9=0…………L=-19…..………3….
FROM 1 …..2L=-5K-18=50-18=32……….L=16…………….4
EQN.3 GIVES L= -19 WHERE AS EQN.4 GIVES L=16.
HENCE NOT POSSIBLE.

PLEASE TYPE CLEARLY DISTINGUISHING L AND 1.
THEN ONLY THIS COULD BE ANSWERED PROPERLY
ANY WAY THE METHOD AS GIVEN ABOVE IS SIMPLE.
JUST CHECK THE 3 EQNS. FOR A CONSISTENT SOLUTION.THEN OK.OTHERWISE NOT POSSIBLE.