Given vector v with initial point: (-6,4,-2) and terminal point: (1,-1,3) Find a unit vector in the direction of v.

Question

amistre64 · Answer

last - start gives you directionality

amistre64 · Answer

divide by length to get it to unit length

amistre64 · Answer

3ft/3 = 1

12 inches/12 = 1

58 miles /58 = 1

$$\left|\frac{\vec v}{|v|}\right|=1$$

anonymous · Answer

My teacher gave the answer sqrt(11)/33 (7,-5,5)
how would I get that (this was on a test I failed, I just want to know how to do it right)

anonymous · Answer

<1-(-6),-1-4,3-(-2)>=<7,-5,5> which is the vector. To find it's magnitude you do $$\sqrt{7^{2}+-5^{2}+5^{2}}$$

anonymous · Answer

a unit vector is the (vector/mag of the vector)

anonymous · Answer

That makes sense. I didn't know what to find the magnitude of

anonymous · Answer

Although the mag is 3(11^1/2)

anonymous · Answer

Yeah that's what I got too. Not sure how to get (11^1/2)/33

anonymous · Answer

I would mention that to him so you can get your points back on the exam!

anonymous · Answer

I'll ask tomorrow, but wont get any points back since I don't even know why I tried doing, but it was nowhere near the right answer. thanks for the help though :)