Find two unit vectors orthogonal to the two given vectors.

Question

Quizplus · Accepted Answer

Two vectors are orthogonal if their dot product is zero. Therefore, we need to find two vectors that are orthogonal to both given vectors. We can use the cross product to find such vectors. Taking the cross product of the two given vectors will give us a vector that is orthogonal to both of them. Then, taking the cross product of that vector and one of the original vectors will give us a vector that is orthogonal to both. Normalize each of these vectors to obtain two unit vectors. Out of the given choices, only option B satisfies this condition.

Find Two Unit Vectors Orthogonal to the Two Given Vectors