What is the angle between <1,3,−8> and <4,1,5>

treslagosnv

treslagosnv

Answered question

2022-01-21

What is the angle between <1,3,−8> and <4,1,5>

Answer & Explanation

Madelyn Townsend

Madelyn Townsend

Beginner2022-01-22Added 13 answers

There are 2 methods we can use to calculate this algebraically, either using the vector cross product or the vector inner product.
The angle between any 2 vectors A and B in any dimensional vector space may be given by the inverse cosine of the Euclidean inner product of the 2 vectors divided by the product of the norms of the 2 vectors.
i.e. cosθ=AB||A||||B||
θ=cos1((1,3,8)(4,1,5)||1,3,8||||4,1,5||)
=cos1(4+3407242)
=126,294

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