Question

give vector v = 1/2. Is this a unit vector? if not, make into one

Answer 1

um, the i and j seem out of place there; those tend to be reserved for a more equation looking vector notation

Answer 2

ok try this then...u=1/2(sqrt(3)i-j)

Answer 3

thats better :)

Answer 4

so, what we have is:

\[\vec v=<\frac{\sqrt{3}}{2},-\frac{1}{2}>\]
which looks to me like points on the unit circle

Answer 5

sqrt((3+1)/4) = 1

Answer 6

ok.... so is it a unit vector as is?

Answer 7

as is, its a unit vector; since its magnitude = 1

Answer 8

thanks quick question if you could. When we say directional derivative, that means DuF right.

Answer 9

http://mathworld.wolfram.com/DirectionalDerivative.html

in a sense I would say yes

Answer 10

What i mean is, when we say find the dirctional derrivative its reffering to that.