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 :
Find all the vectors of magnitude 3√3 which are collinear to vector î + ĵ + k̂.
A unit vector along the vector 4î - 3k̂ is :
If a→, b→ and (a→ + b→) are all unit vectors and θ is the angle between a→ and b→, then the value of θ is :
The two adjacent sides of a parallelogram are represented by 2î − 4ĵ − 5k̂ and 2î + 2ĵ + 3k̂. Find the unit vectors parallel to its diagonals. Using the diagonal vectors, find the area of the parallelogram also.
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