Vector Algebra · Class 12 · CBSE · Science Mathematics
Find a unit vector perpendicular to both vec a=hat i+hat j+hat k and vec b=hat i-hat j.
Practice question from Vector Algebra (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
medium · Subjective · Q-F4282D
Find a unit vector perpendicular to both and .
Answer: A unit vector perpendicular to both vectors is . Its negative is also a valid unit vector.
Solution
A vector perpendicular to both is . Its magnitude is , so dividing by this magnitude gives the unit vector .
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