Question

if a+b=c and a=root3 b=root 3 and c=3 then the angle between a+b is​

Answer 1

Answer:

a=√3;b√3. c=3. a+b=3.

Explanation:

√3+√3=3 two roots cancelled it.so. 6=3 cancel 3×2=6 3×1=3. so answer 2:1

Answer 2

GIven,

a+ b= c

|a| =|b| = $\sqrt{3}$

|c|=3

To Find,

angle between a + b

Solution,

a, b , c are vectors. Therefore,

$(a + b)^{2} = (c)^{2}$ (Squaring both sides)

$(|a|)^{2} + (|b|)^{2} + 2 |a||b|$θ = $|c|^{2}$

3 + 3 + 2($\sqrt{3} * \sqrt{3}$) cosθ = (3*3) [Putting values given in question]

6+6cosθ = 9

6(1+ cosθ) = 9 [Taking 6 comon on L.H.S]

1 + cosθ  =9/6 =3/2

cosθ =3/2 - 1 = 1/2

Therefore, θ = 60° (  as we know ,cos60° = 1/2 )

Hence, Answer is 60°