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 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 :
If a⃗, b⃗, c⃗ and d⃗ are four non-zero vectors such that a⃗ × b⃗ = c⃗ × d⃗ and a⃗ × c⃗ = 4b⃗ × d⃗, then show that (a⃗ − 2d⃗) is parallel to (2b⃗ − c⃗) where a⃗ ≠ 2d⃗, c⃗ ≠ 2b⃗.
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