Find a nonzero vector that is perpendicular to both the vectors u = < 2, 1, -1> and v = < 2, 1, 1> use cross product to find

<2, -4, 0>

Explanation:

Given vectors,

u = <2, 1, -1>

⇒ u = 2i + j - k

v = <2, 1, 1>

⇒ v = 2i + j + k

∵ The cross product of u and v is a orthogonal or perpendicular vector to both vectors u and v,

= 2i - 4j + 0k

Hence, the vector which is perpendicular to both u and v is <2, -4, 0>

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