Find the angle between two vectors 𝚤̂ - 2𝚥̂ + 3𝑘 and 3𝚤̂ - 2𝚥̂ + 𝑘 - Physics - Motion In A Plane

Question

Find the angle between two vectors 𝚤̂ -
2𝚥̂ + 3𝑘 and 3𝚤̂ -
2𝚥̂ + 𝑘

Vipra Mishra · Accepted Answer

Dear Student
Given vectorsa→=i^ - 2j^ +3k^b→=3i^ - 2j^ +k^a→ =12 +- 22 +32 =14b→ =32 +- 22 +12 =14a→
b→ = i^ - 2j^ +3k^·3i^ - 2j^ +k^        =3+4+3       =10Also,a→
b→ =a→
b→ cosθ        =1414cosθ ⇒10 =14 cosθ ⇒cosθ  =1014 =57⇒θ = cos-157
Regards