Find A Unit Vector That Is Orthogonal To Both I + J And I + K.

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Find a unit vector that is orthogonal to both i + j and i + k.

Answer

The cross product will produce a vector orthogonal to both.

Find the length of v

Divide the components of v by this to make it have a unit length (normalize it)

To get the other orthogonal vector we can just negate this to become:

Result

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