Answer:
a)z1 +z2 =z2 + z1 ...proved.
b) z1 + ( z2+ z3 )=(z1+z2)+z3 ... proved.
Step-by-step explanation:
It is given that there are three vectors z1 = a1 + ib1, z2 = a2 + ib2 and z3 = a3 + ib3. Now, we have to prove (a) z1 + z2 = z2 + z1 and (b) z1 + (z2 +z3) = (z1 + z2) + z3.
(a) z1 + z2 = (a1 +ib1) + (a2+ ib2) = (a1 +a2) + i(b1 +b2) {Adding the real and imaginary parts separately}
Again, z2 + z1 =(a2 +ib2) + (a1 +ib1) = (a2 +a1) + i(b2 +b1) {Adding the real and imaginary parts separately}
Hence, z1 +z2 =z2 + z1 {Since, (a1 +a2) = (a2 +a1) and (b1 +b2) = (b2 +b1)}
(b) z1 + ( z2+ z3 ) = [a1 + ib1] + [(a2 + a3 ) + i(b2 + b3 )] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Again, (z1+z2)+z3 = [(a1+a2) +i(b1+b2)]+[a3+ib3] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Hence, z1 + ( z2+ z3 )=(z1+z2)+z3 proved.
Answer:
z-9
Step-by-step explanation:
Right now, John is z-5. z-5 - 4 is equal to z -9.
6*25=150 and 5*24=120 so now we have a fraction of uh 150/120 :P Then we have to simplify and divide both numbers by 30 so 150 divided by 30 is 5 and 120 divided by 30 is 4. So now we have a fraction of 5/4. If you need it as a mixed number, then im pretty sure the answer is 11/4 :D
Answer:
The of the tourist is 1.67 meters.
Step-by-step explanation:
Height of statue in photograph = 4.5 inches.
Height of tourist in photograph = 1.25 inches.
Actual height of statue = 6.0 meters.
We need to find the the actual height of the tourist in meters.
Let x be the actual height of the tourist in meters.
Ratio of height of statue and tourist are proportional.
Therefore, the of the tourist is 1.67 meters.
