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Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <7, 2>, v = <21, 6>

Deborah Edwards

in Mathematics

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Deborah Edwards on January 15, 2018

Vectors are orthogonal if their scalar product equals zero:u · v = 7· 21 + 2 · 6 = 147 + 12 = 159 ≠ 0Vectors are parallel if the angle between them is 0° or cos ( u, v ) = 1cos ( u, v ) = ( u · v ) / ( | u | · | v| ) == 159 / (√(72 + 22) · √(212 + 62) ) == 159 / ( √ (49 + 4 ) · √ ( 441 + 36 ) ) = = 159 / (√53 · √477 ) = 159 / 159 = 1Answer : The vectors u and v are parallel.


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