The value of `(bar(A)+bar(B))times(bar(A)-bar(B))` is

The value of [(bar(a)+2bar(b)-bar(c))(bar(a)-bar(b))(bar(a)-bar(b)-bar(c))] is equal to the box product

If bar(a) and bar(b) are vectors such that |bar(a)+bar(b)|=sqrt(29) and bar(a)times(2bar(i)+3bar(j)+4bar(k))=(2bar(i)+3bar(j))times bar(b) . Possible value of (bar(a)+bar(b))*(-7bar(i)+2bar(j)+3bar(k)) is

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),bar(b) aretwo unit vectors such that |bar(a)xxbar(b)|=2 then the value of [bar(a)bar(b)bar(a)xxbar(b)] is

In Delta PQR ,let bar(QR)=bar(a),bar(RP)=bar(b) and bar(PQ)=bar(c) . If |bar(a)|=3,|bar(b)|=4 and (bar(a)*(bar(c)-bar(b)))/(bar(c)*(bar(a)-bar(b)))=(|bar(a)|)/(|bar(a)|+|bar(b)|), then the value of |bar(a)timesbar(b)|^(2) is equal to

If bar(a) and bar(b) are unit vectors then the vectors (bar(a)+bar(b))xx(bar(a)xxbar(b)) is parallel to the vector

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

If bar(a)=bar(i)+bar(j)+bar(k) , bar(b)=bar(i)+2bar(j)+3bar(k) then a unit vector perpendicular to both vectors (bar(a)+bar(b)) and (bar(a)-bar(b)) is

If bar(a),bar(b),bar(c) are non-zero,non-coplanar vectors then {bar(a)times(bar(b)+bar(c))}times{bar(b)times(bar(c)-bar(a))} is collinear with the vector

If |bar(a)|=1,|bar(b)|=2 , (bar(a),bar(b))=(2 pi)/(3) then |(bar(a)+3bar(b))times(3bar(a)-bar(b))|^(7)= ...