- #1

Applejacks

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## Homework Statement

Let r=(x,y,z). Find ∇r(hat).

## Homework Equations

r(hat)= (x,y,z)/sqrt (x^2+y^2+z^2)

∇f=df/dx

**x**+ df/dy

**y**...

## The Attempt at a Solution

Okay I'm having a complete brain freeze at the moment. I know the denominator is a magnitude but am I still supposed to use the quotient rule here? For the x component of ∇r(hat) we get:

**x**(sqrt(a) * 1 - x^2 /sqrt(a))/a where a= x^2+y^2+z^2 correct?

Also another stupid question but is the x-component of r(hat) (x,0,0)/sqrt(a) or just x/sqrt(a)?

Would this mean that ∇dot r is a vector while ∇r is a scalar?

r=xi + yj + zk

∇r= (i, j, k) = 3?

My mind is so confused right now...

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