If the moduli of `bar(a)` and `bar(b)` are equal and angle between them is `120^(@)` and `bar(a)*bar(b)=-8`, then `|bar(a)|` is equal to

[bar(a)" "bar(b)" "bar(a)xxbarb] is equal to

If |bar(a)|=3,|bar(b)|=4 and |bar(a)+bar(b)|=5, then |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)|=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

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

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)|

If |vec a|=2,|vec b|=sqrt(3) and (bar(a),bar(b))=30^(@) then the angle between the vectors bar(b) and bar(a)-bar(b) is

If (bar(a),bar(b))=30^(@) then (bar(a),-bar(b))=

bar(a) & bar(b) are two non- collinear vectors then the value of {(bar(a))/(|bar(a)|^(2))-(bar(b))/(|bar(b)|^(2))}^(2) 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