Let A=ia1 + ja2 + ka3
B= ib1 +jb2 =kb3 and
C=ic1 + jc2 +kc3
B.C =b1c1 + b2c2 +b3c3 is a scaler and so
A.(B.C) = (b1c1 + b2c2 +b3c3)(ia1 +ja2 +ka3)
A.(B.C) = ia1b1c1 +ja2b2c2 +ka3b3c3 . . . . . . . . . . .(1)
A.B = a1b1 + a2b2 +a3c3 is a scaler and
(A.B).C = (a1b1 + a2b2 +a3c3)(ic1 + jc2 +kc3)
(A.B).C = ia1b1c1 + ja2b2c2 + ka3b3c3 . . . . . . . . . . (2)
RHS’s of (1) and (2) are identical and so
the LHS’s should be equal and hence it follows that
A.(B.C) = (A.B).C
Answer:Estudiosa
Hope it helps!
Wen he says " NO, yo soy la Maestra de ciencias." He does not go to Sciences class he talks with her though.
Answer:
To express a continuing or ongoing present action in Spanish you will follow this pattern for most regular verbs:
First of all you will need estar in El Presente:
yo estoy
tú estás
él / ella / Ud. está
nosotros/nosotras
estamos
vosotros /vosotras
estáis
ellos / ellas / Uds. están
And then:
Estar in El Presente + -ando (-AR verbs)
-iendo (-ER and -IR verbs)
hablar → habl- = hablando
correr → corr- = corriendo
Explanation:
Yo estoy hablando con mi madre.
I am talking with my mother.
Nosotros estamos cantando.
We are singing.
Vosotros estáis mirando la puesta de sol.
You are looking at the sunset.
Ellos están viviendo en Caracas.
They are living in Caracas.
Tú estás corriendo la maratón.
You are running the marathon.
Ella está aprendiendo a cocinar.
She is learning how to cook.
Uso las estrategias analizando todo y saber la respuesta a mis problemas diarios
I use the strategies analyzing everything and knowing the answer to my daily problems
I hope it helps you