What is the magnitude of vector AB if A=(4,2,−6) and B=(9,−1,3)?

maliaseth0

maliaseth0

Answered

2022-01-24

What is the magnitude of vector AB if A=(4,2,6) and B=(9,1,3)?

Answer & Explanation

caoireoilns

caoireoilns

Expert

2022-01-25Added 12 answers

Let A be the position vector of A and B be the position vector of B. A position vector is a vector that points from the origin to a particular point.
If you plot A,B and AB , then you can easily notice that B=A+AB using the triangle rule of addition of vectors.
In this question, A=4i+2j6kandB=9ij+3k. So
9ij+3k=(4i+2j6k)+AB, , thus meaning that
AB=(94)i+(12)j+(3+6)k=5i3j+9k.

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