Find a unit vector perpendicular to both vectors a = î + ĵ + k̂ and b = î + ĵ. A. (î − ĵ)/√2 B. (−î + ĵ)/√2 C. k̂ D. Both A and B Answer: D) Both A and B Explanation: Cross product a × b = î(0−1) − ĵ(0−1) + k̂(1−1) = −î + ĵ. Magnitude = √2. Unit vector = ±(−î + ĵ)/√2. Both (î − ĵ)/√2 and (−î + ĵ)/√2 are valid unit vectors.

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imo class 12 vector algebra

Find a unit vector perpendicular to both vectors a = î + ĵ + k̂ and b = î + ĵ.

VAVidaara Admin Asked 6d ago 0 views 0 answers

#IMO #Class 12 #Mathematics #Vector Algebra #logical-reasoning

Find a unit vector perpendicular to both vectors a = î + ĵ + k̂ and b = î + ĵ.

A. (î − ĵ)/√2
B. (−î + ĵ)/√2
C. k̂
D. Both A and B

Answer: D) Both A and B

Explanation: Cross product a × b = î(0−1) − ĵ(0−1) + k̂(1−1) = −î + ĵ. Magnitude = √2. Unit vector = ±(−î + ĵ)/√2. Both (î − ĵ)/√2 and (−î + ĵ)/√2 are valid unit vectors.

Find a unit vector perpendicular to both vectors a = î + ĵ + k̂ and b = î + ĵ.

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