Find a vector of magnitude 20 units parallel to the vector 2î + 5ĵ + 4k̂ .

Question

TextUnit Vector and Its Properties

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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 :

Unit Vector and Its Properties

Vector Product of Two Vectors

Find all the vectors of magnitude 3√3 which are collinear to vector î + ĵ + k̂.

Unit vector along PQ, where coordinates of P and Q respectively are (2, 1, -1) and (4, 4, -7), is

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 :