Determine whether the vectors u and v are parallel, orthogonal, or neither.

pedzenekO

pedzenekO

Answered question

2021-08-18

Determine whether the vectors u and v are parallel, orthogonal, or neither.
u=3,4,v2015
u=3,4,v2015

Answer & Explanation

pierretteA

pierretteA

Skilled2021-08-19Added 102 answers

Without finding the angle between two vectors, we can determine if they are parallel if they are scalar multiples of each other. If u=kvorv=ku for non-zero value of k since we are simply scaling. The two vectors are orthogonal if their dot product is 0: u×v=0
Check if they are parallel:
Since v5u,20,1553.4
Then u and v are not parallel.
Check if they are orthogonal:
Find the dot product:
u×v=(3)(20)+(4)(15)=60+60=0
Since u×v=0, then u and v are orthogonal.

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