[" Let "vec a=2i+j-2k,bar(b)=i+j" .If "vec c" is a vector such that "bar(a)bar(c)-|c,bar(c)-bar(a)-2sqrt(2)" and the angle "],[" benveen "a times b" and "c" is "30^(@)" .Then "|(a timesbar(b))times c|-]

bar(a)=2bar(i)+bar(j)-2bar(k) and bar(b)=bar(i)+bar(j) if bar(c) is a vector such that bar(a)*bar(c)=|bar(c)|,|bar(c)-bar(a)|=2sqrt(2) and and the angle between bar(a)xxbar(b) and bar(c) is 30^(@), then |(bar(a)xxbar(b))xxbar(c)|=

bar(a)=2hati+hatj-2hatk and bar(b)=hati+hatj . The vector bar( c ) is such that bar(a)*bar( c )=|bar( c )|,|bar( c )-bar(a)|=2sqrt(2) and the angle between bar(a)xx bar(b) and bar( c ) is 30^(@) then |(bar(a)xx bar(b))xx bar( c )| = …………

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

Let bar(a), bar(b), bar(c ) be unit vectors, suppose that bar(a). bar(b) = bar(a). bar(c )= 0 and the angle between bar(b) and bar(c ) is pi//6 then show that bar(a)= +-2 (bar(b) xx bar( c))

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.

If bar(a),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.

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

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=