217k views
1 vote
Given that r = ( 7, 3, 9) and v = ( 3, 7, -9), evaluate r + v

a. (-21,-21,81)
b. (10,10,0)
c. (21,21,-81)
d. (-10,-10,0)

User Rakeshr
by
4.9k points

1 Answer

2 votes

Answer:

b. (10,10,0)

Explanation:

r+v can be evaluated if the vectors/matrices have the same dimensions.

These do. They are both 1 by 3 vectors.

Just add first to first in each.

Just add second to second in each.

Just add third to third in each.

Example:

(5,-5,6)+(1,2,3)

=(5+1,-5+2,6+3)

=(6,-3,9)

Done!

In general, (a,b,c)+(r,s,t)=(a+r,b+s,c+t).

r+v

=(7,3,9)+(3,7,-9)

=(7+3,3+7,9+-9)

=(10,10,0)

Done!

User Rafraf
by
5.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.