If `theta` is the angle between unit vectors `bar(A)` and `bar(B)` then `(1-bar(A).bar(B))/(1+bar(A)*bar(B))` is equal to

If |bar(a)|=4,|bar(b)|=2 and the angle between bar(a) and bar(b) is pi/6 ,then (bar(a)timesbar(b))^(2) is equal to

If bar(a) is a unit vector then bar(a)xx{bar(a)xx(bar(a)xxbar(b))}

If bar(a) is a unit vector then bar(a)xx{bar(a)xx(bar(a)xxbar(b))=

If |bar(a)|=4,|bar(b)|=2 and the angle between bar(a) and bar(b) is pi/6 ,then (|bar(a)timesbar(b)|)^(2) is equal to

If |bar(a)|=3,|bar(b)|=4 and |bar(a)+bar(b)|=5, then |bar(a)-bar(b)| is equal to

bar(a),bar(b),bar(c) are three vectors such that |bar(a)|=1,|bar(b)|=2,|bar(c)|=3 and bar(b),bar(c) are perpendicular to each other.If the projection of bar(b) along bar(a) is same as that of bar(c) along bar(a) then |bar(a)-bar(b)+bar(c)| is equal to

Let bar(a),bar(b),bar(c) be vectors of equal magnitude such that the angle between bar(a) and bar(b) is alpha,bar(b) and bar(c) is beta and bar(c) and bar(a) is gamma. Then the minimum value of cos alpha+cos beta+cos gamma is

bar(a) and bar(b) are two unit vectors and theta be the angle between them then sin theta/2 : (A) |bar(a)-bar(b)| (B) |bar(a)+bar(b)| (C) (1)/(2)|bar(a)-bar(b)| (D) (1)/(2)|bar(a)+bar(b)|

Let bar(a) , bar(b) and bar(c) be non-zero vectors such that (bar(a)timesbar(b))timesbar(c)=(1)/(3)|bar(b)||bar(c)|bar(a) ..If theta is the acute angle between the vectors bar(b) and bar(c) then sin theta=2k then k=

Suppose bar(a), bar(b), bar(c) be three unit vectors such that |bar(a)-bar(b)|^(2)+|bar(b)-bar(c)|^(2)+|bar(c)-bar(a)|^(2) is equal to 3 . If bar(a), bar(b), bar(c) are equally inclined to each other at an angle: