The Distance Between Two Vectors

The distance between vectors x and y is denoted d(x,y). This distance is just the norm of the vector x-y, i.e. ||x-y||. The distance between two vectors d(x,y) is also the same as d(y,x) since ||x-y|| = ||y-x||. We provide these basic definitions and then work an example where the distance between two vectors is computed for vectors in R3.

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[DewanggaPrabowo]

What you’ve done here is good sir, just like online lecturer I meant for electrical engineering is really helpful

[crisgarofalo]

hi Adam! Very nice video!, assuming we are working in n dimensions, does this works too? Giving 2 vectors e i.e u=(12, 3, 4, 5) v=(6, 7, 4, 4, 5) will the calculation for the distance proposed here will work? as we can not see beyond the 3rd dimension is so hard for me to understand. thanks! s

[articcircleado]

Thank you!!!! Seriously people like you make the world better. THAAAANKS

[lhdtomlee]

😃Thank you very much! This helped me to understand: distance = np.sqrt(np.sum((v1-v2)**2))

[marilynsales]

What if the dimensions of u and v are not the same.? How to solve that? Thank you

[BossGamerVishnu]

Thank you for you help in my education

[SST.Vlogs]

There is same question but in and question there is x and y then which formula I can use