Determine whether the vectors are orthogonal parallel or nei

Determine whether the vectors are orthogonal, parallel or neither. u rightarrow = [12 3 -5] v rightarrow = [2 -3 3]

Solution

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Given u= 12i + 3j -5k

v = 2i -3j + 3k

For two Vectors to be orthogonal their dot product needs to be 0

u.v = 12(2) + (3)(-3) + (-5)(3)

=24 - 9 - 15

= 0

Hence proved that the given two vectors are perpendicular to each other

Solved