Friday

November 21, 2014

November 21, 2014

Posted by **manpreet** on Friday, November 23, 2012 at 4:32pm.

- dps -
**Steve**, Friday, November 23, 2012 at 6:35pmwithout loss of generality, we can let

a = <1,0>

b = <cosθ,sinθ>

a+b = <(1+cosθ),sinθ>

|a+b|^2 = (1+cosθ)^2 + sin^2 θ

if a+b is a unit vector,

|a+b|^2 = 1

1+2cosθ+cos^2θ + sin^2θ = 1

1+2cosθ = 0

cosθ = -1/2

θ = 2pi/3

**Answer this Question**

**Related Questions**

Precalc - Suppose vector a is 3 units long, the magnitude of vector b is 1 units...

Math (Geometry-Vectors) - Let θ be the angle between two vectors v and u . ...

Math - Calculus - The identity below is significant because it relates 3 ...

Physics - Consider three force vectors ~ F1, ~ F2, and ~ F3. The vector ~ F1 has...

Complex angles - There are four complex fourth roots to the number 4−43&#...

science - The most convenient way to express vectors in the two dimensional ...

physics - The most convenient way to express vectors in the two dimensional ...

physics - The most convenient way to express vectors in the two dimensional ...

science - The most convenient way to express vectors in the two dimensional ...

physics - The most convenient way to express vectors in the two dimensional ...