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Vectors and Scalars MCQs

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1. Magnitude of the vector 2i – 2j – k is:





2. Unit vector of i + j + k is:





3. Unit vector of i – 2j – 2k is:





4. If i, j and k are orthogonal unit vectors, then j × i is:





5. Magnitude of vector i – 3j + 5k is:





6. If l, m and n are direction cosines, then:





7. If θ is the angle between vectors a and b, then cosθ is:





8. If a = a₁i + a₂j + a₃k, b = b₁i + b₂j + b₃k, then a·b is:





9. a·b = 0 implies that a and b are:





10. If a = i + j + k and b = i – j – mk are perpendicular then m =





11. a·b is a:





12. a·a is equal to:





13. If a = 2i – 3j + k and b = –i + 2j + 7k then a·b is:





14. If a × b = 0 then a and b are:





15. The cross product of two vectors a and b is:





16. If n̂ is unit vector in direction of a × b then n̂ =





17. a × b is area of:





18. a × b is equal to:





19. If a and b are collinear vectors, then:





20. a × b is a:





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