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

treslagosnv 2022-01-21 Answered
What is the angle between <1,3,−8> and <4,1,5>
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Expert Answer

Madelyn Townsend
Answered 2022-01-22 Author has 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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