Question

what is the length(magnitude) of the vector (6,-3)?
A. 3sqrt2
B. sqrt2
C. 3
D. sqrt53

Answer 1

length of vector \((a,b)\) is \(\sqrt{a^2+b^2}\)

Answer 2

You need the hypotenuse of the right triangle.

Answer 3

would I be using the Pythagorean theorem?

Answer 4

√(6^2 + (-3)^2) = √(36+9) = √(9*5) = 3√5

Answer 5

Yes, Pythagoras' Theorem is the way to figure out the length of this vector.