Solve this: Q25. Let a, b and c be three non-zero vectors such that no two of them are collinear and (a × b) × c = 13|b|| c| a. If θ is the angle between vectors b and c, then a value of sin θ is (a) 223 (b) -23 (c) 23 (d) -233
ILLUSTRATION 1 Let ABC be a triangle having its centroid at G. If S is any point in the plane of the triangle, then
(a)
(b) 2
(c)
(d)
Ans. (c)
Solve this:
Q25. Let a, b and c be three non-zero vectors such that no two of them are collinear and (a × b) × c = |b|| c| a. If is the angle between vectors b and c, then a value of sin is
(a) (b)
(c) (d)
Q. EXAMPLE 20. If are three non - zero vectors which are pairwise non-collinear. If is collinear is :
[ AIEEE 2011 ]
Q. Which one of the following vectors of magnitude makes equal angles with three vectors
?
1. 1 2. 2 3. 3 4. 4
(i) If the sum of two unit vectors is a unit vector then show that the magnitude of their difference is
Given: a→ × b→ = a→ × c→, a→ ≠ 0, b→ ≠ c→To prove: b→ = c→ + ta→ for some scalar 't'Given: a→ × b→ = a→ × c→, a→ ≠ 0, b→ ≠ c→To prove: b→ = c→ + ta→ for some scalar 't'