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You are watching: Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <8, 4>, v = <10, 7>

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Determine even if it is the vectors u and also v are parallel, orthogonal, or neither. U = , v = 0 votescalculusaskedAug 4, 2014in CALCULUSby Tdog79Pupil
please log in or register to include a comment. please log in or register to answer this question. 1 answer 0 votes

The vectors u = v =

Calculate the angle in between the vectors by using adhering to formula

cosθ =(u.v)/|u||v|

u . V = .

u . V = 7(21) + (2)(6)

u . V = 147 + 12

u . V = 159

Calculate the magnitude of vectors.

Magnitude that a vector |a| = √(x2 + y2)

|u| = √(49 + 4) = √53

|v| = √(441 + 36) = √477

cosθ = u.v/|u||v|

= 159/(√53)(√477)

cosθ = 159/√25281

cosθ = 159/159

cosθ = 1

θ = 0 degrees

Angle between two vectors is 0 degrees.

Therefore, the vectors u and also v space parallel.




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