Questions on Algebra: Introduction to vectors, addition and scaling answered by real tutors!

Algebra ->  Algebra -> Questions on Algebra: Introduction to vectors, addition and scaling answered by real tutors!     (Log On)
Ad: Algebra Solved!™: algebra software that solves YOUR algebra homework problems with step-by-step help!



Question 143007: Can someone please help me?
the magnitude of the vector -3i-5j is
a. -4
b. 4
c. sqrt 26
d. sqrt 34
: Can someone please help me?
the magnitude of the vector -3i-5j is
a. -4
b. 4
c. sqrt 26
d. sqrt 34

Answer by vleith(1174) About Me  (Show Source):
You can put this solution on YOUR website!
When looking at a vector, you need to look at the the 'size' or amplitude of the the vector. A vector has an x component and a y component (or in your case, an i and a j).
Look at the vector like a hypotenuse of a right triangle where the two legs are given in terms of i an j.
You know that in a right triangle, c^2 = a^2 + b^2
Thus, in this case
c^2 = (-3)^2 + (-5)^2
 c^2 = 9 + 25
 c^2 = 34
c = sqrt(34)
Got it?