Question

Determine the relationship between the two vecors

Answer 1

Answer:

Step-by-step explanation:

Since there exists a scalar  

λ

λ

(namely  

λ=a⋅b

λ=a⋅b

) such that  

b=λa

b=λa

, the directions of the two vertices are the same (they are collinear). This implies that  

|a⋅b|=|a||b|

|a⋅b|=|a||b|

.

So,  

|a|=|(a⋅b)b|=|a||b||b|

|a|=|(a⋅b)b|=|a||b||b|

which implies that  

|b|=1

|b|=1