Loading...
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 a vector of magnitude 4 units perpendicular to each of the vectors 2î − ĵ + k̂ and î + ĵ − k̂ and hence verify your answer.
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
Assertion (A): If a line makes angles α, β, γ with positive direction of the coordinate axes, then sin² α + sin² β + sin² γ = 2. Reason (R): The sum of squares of the direction cosines of a line is 1.
© 2026 PadhAiPro. This question is provided for educational purposes.
