Let `bar(a),bar(b)` and `bar(c)` be three vectors having magnitudes 1,1 and 2 respectively. If `bar(a)times(bar(a)times bar(c))-bar(b)=0`then the acute angle between `bar(a)` and `bar(c)` is

Let a,b, c be three vectors such that |bar(a)|=1,|bar(b)|=2 and if bar(a)times(bar(a)timesbar(c))+bar(b)=bar(0), then angle between bar(a) and bar(c) can be.

Let (a,b,c) be three vectors such that |bar(a)|=1 and |bar(b)|=1 , |bar(c)|=2 , if bar(a)times(bar(a)timesbar(c))+bar(b)=bar(0) , then Angle between bar(a) and bar(c) can be

If bar(a),bar(b),bar(c) are three vectors of magnitude sqrt(3),1,2 such that bar(a)xx(bar(a)xxbar(c))+3bar(b)=bar(0) and theta is the angle between bar(a) and bar(c) then cos^(2)theta=

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=

Let bar(a) , bar(b) and bar(c) be vectors with magnitudes 3,4 and 5 respectively and bar(a)+bar(b)+bar(c)=0 then the value of bar(a).bar(b)+bar(b).bar(c)+bar(c).bar(a) is

If bar(a) and bar(b) be non collinear vectors such that |bar(a)times bar(b)|=bar(a).bar(b) then the angle between bar(a) and bar(b) is

If |bar(a).bar(b)| = |bar(a) xx bar(b)| & bar(a). bar(b) lt 0 , then find the angle between bar(a) and bar(b) .

Let bar(a),bar(b) and bar(c) be non-zero and non collinear vectors such that (bar(a)times bar(b))times bar(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

If bar(a),bar(b),bar(c) are non-coplanar unit vectors such that bar(a)times(bar(b)timesbar(c))=(sqrt(3))/(2)(bar(b)+bar(c)) then the angle between bar(a) and bar(b) is ( bar(b) and bar(c) are non collinear)

Three vectors bar(a) , bar(b) and bar(c) are such that [bar(a)timesbar(b)=3bar(a)timesbar(c) .Also |vec a|=|bar(b)|=1 and |bar(c)|=(1)/(3) .If the angle between bar(b) and bar(c) is 60^(@) ,then.