If `bar a=2bar m+bar n, bar b=bar m-2bar n`, Angle between the unitvectors `bar m and bar n` is `60^@`. a,b are the sidesa parallelogram then the lengths of the diagonals are

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

If |bar(a).bar(b)|=3 and |bar(a)xx bar(b)|=4 then the angle between bar(a) and bar(b) is ………………

If |bar(a)+bar(b)| = |bar(a)-bar(b)| then find the angle between bar(a) and bar(b) .

The vectors bar(a)=3bar(i)-2bar(j)+2bar(k) and bar(b)=-bar(i)-2bar(k) are the adjacent sides of a parallelogram. The angle between its diagonals 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) .

If bar r=l(bar b xx bar c)+m(bar c xx bar a)+n(bar a xx bar b) and [bar a bar b bar c]=2 , then l+m+n is equal to

A parallelogram is constructed on 2bar(a)+3bar(b) and 3bar(a)-5bar(b), where ।bar(a)|=4 and |bar(b)|=5. If the angle between bar(a) and bar(b) is (pi)/(3), then the magnitude of the smaller diagonal is

If bar(a) , bar(b) and bar(a)-sqrt2bar(b) are unit vectors, then what is the angle between bar(a), bar(b) ?