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Let θ be the angle between two unit vectors â and b̂ such that sin θ = 3/5. Then, â . b̂ is equal to :
The unit vector perpendicular to both vectors î + k̂ and î – k̂ is :
If |a→| = 2 and – 3 ≤ k ≤ 2, then |ka→| ∈ :
The vectors →a = 2î – ĵ + k̂, →b = î – 3ĵ – 5k̂ and →c = –3î + 4ĵ + 4k̂ represents the sides of
Find a vector of magnitude 4 units perpendicular to each of the vectors 2î − ĵ + k̂ and î + ĵ − k̂ and hence verify your answer.
If →a + →b = î and →a = 2î − 2ĵ + 2k̂, then |→b| equals :
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