Question

Compute the unit vectors in the direction of |v1| and |v2|, where
v1=(2,-6)
v2=(-4,7)
|v1|= 6.32
|v2|=8.06

Answer 1

unit vector for v1

u1 = (v1)/(|v1|)


unit vector for v2

u2 = (v2)/(|v2|)

Answer 2

it's equivalent to saying

\[\Large u_1 = \frac{1}{|v_1|}*v_1\]

\[\Large u_2 = \frac{1}{|v_2|}*v_2\]

Answer 3

So (2,-6)/6.32 and (-4,7)/8.06?

Answer 4

How would one use the point/vector over a real number?

Answer 5

well the portion 1/(|v1|) is a scalar

Answer 6

so you have a scalar times a vector

Answer 7

c*<a,b> = <a*c, c*b>

Answer 8

Ah, so v1 would be (2/6.32, -6/6.32)?

Answer 9

correct

Answer 10

u1 actually

Answer 11

My thanks, good sir

Answer 12

sure thing