Сalculate whetger the vectors u and v are parallel, orthogonal or neither. u=langle5,3 rangle, u= langle frac{10}{4},- frac{3}{2} rangle

nitraiddQ

nitraiddQ

Answered question

2021-02-02

Сalculate whetger the vectors u and v are parallel, orthogonal or neither.
u=5,3,u=104,32

Answer & Explanation

SchepperJ

SchepperJ

Skilled2021-02-03Added 96 answers

Without finding the angle between two vectors, we can determine if they are parellel if they are scalar multiples of each other.
That is, if u = kv or v = ku for nonzero value of k since we are simply scaling. The two vectors are ort hogonal if thair dot product is 0:uv=0.
Check if they are parallel:
Since
v=12u104,32=12(5,3)
then u and v are parallel.

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