Given that a=(1,-4), b=(1,4) and c=(-5,3)find the number. (Round your answer to two decimal places.) compc b=

Question

Given that a =

1, −4

, b =

1, 4

, and c =

−5, 3

,

 find the number. (Round your answer to two decimal places.)

comp_c b=

Answer 1

Given:

a = <1,-4>

b = <1,4>

c = <-5,3>

Find comp_c b.

Formula:

comp_c b = __b•c__

|| c ||

= __(1)(-5) + (4)(3)__

[(-5)² + (3)²]^1/2

≈ 1.20