Question #42414

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

u = <6, -2>, v = <2, 6>

what can i do in this

Expert's answer

Answer on Question #42414 – Math - Analytic Geometry

Question: Determine whether the vectors uu and vv are parallel, orthogonal, or neither.


u=⟨6,−2⟩,v=⟨2,6⟩u = \langle 6, -2 \rangle, v = \langle 2, 6 \rangle


Solution: Compute dot product as the sum of the products of the corresponding entries of the two sequences of numbers :


u⋅v=6⋅2+(−2)⋅6=0, sou \cdot v = 6 \cdot 2 + (-2) \cdot 6 = 0, \text{ so}


Answer: the vectors uu and vv are orthogonal.

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