Question 981088: Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = <6, -2>, v = <2, 6>
Please help, I don't know how to find the direction of the vectors!
Please help, I don't know how to find the direction of the vectors!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = <6, -2>, v = <2, 6>
Please help, I don't know how to find the direction of the vectors!
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Assuming you do not want to use the dot-product.
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Direction of "u" = arctan(-2/6) = -18.43 degrees
Direction o "v" = arctan(6/2) = 71.56
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Note 18.43 + 71.56 = 90 degrees
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Conclusion:: u and v are perpendicular.
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Using dot-product
u dot v = (6*2)+(-2*6) = 0
Therefore u and v are perpendicular.
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Cheers,
Stan H.
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