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.

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

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

If bar(a)+bar(b)+bar(c)=bar(0) then bar(a)timesbar(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=

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 three non zero vectors,then bar(a).bar(b)=bar(a).bar(c)rArr

If bar(a),bar(b) and bar(c) are mutually perpendicular vectors then [bar(a)bar(b)bar(c)]=

If a and b are unit vectors such that |bar(a)timesbar(b)|=bar(a)*bar(b) then |bar(a)-bar(b)|^(2)=

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 bar(a)=2hat i+hat j-2hat k,bar(b)=hat i+hat j and bar(c) be a vector such that |bar(c)-bar(a)|=3,|(bar(a)timesbar(b))timesbar(c)|=3 and the angle between bar(c) and bar(a)timesbar(b) is 30^(@) . Then, bar(a).bar(c) is equal to