Let `bar(a),b,bar(c)` be three non coplanar unit vectors such that angle between any two of them is `(pi)/(3)` and `bar(a)timesbar(b)+bar(b)timesbar(c)=pbar(a)+qbar(b)+rbar(c)` then `(p-r)^(2)`=

If |bar(a)|=|bar(b)|=1 and |bar(a)timesbar(b)|=bar(a)*bar(b) , then |bar(a)+bar(b)|^(2)=

Let bar(a),bar(b),bar(c) be three non-zero vectors such that bar(a)+bar(b)+bar(c)=0 .Then lambda(bar(a)timesbar(b))+bar(c)timesbar(b)+bar(a)timesbar(c)=0 where lambda is

If bar(a),bar(b),bar(c) are non-coplanar vectors such that then bar(b)xxbar(c)=bar(a),bar(c)xxbar(a)=bar(b) and bar(a)xxbar(b)=bar(c), then |bar(a)+bar(b)+bar(c)|=

bar(a),bar(b),bar(c ) are three coplanar vectors, If bar(a) is not parallel to bar(b) , Show that

If bar(a), bar(b), bar(c) are non-coplanar vectors and x, y, z are scalars such that bar(a)=x(bar(b)timesbar(c))+y(bar(c)timesbar(a))+z(bar(a)timesbar(b)) then x =

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

let bar(a),bar(b)&bar(c) be three non-zero non coplanar vectors and bar(p),bar(q)&bar(r) be three vectors defined as bar(p)=bar(a)+bar(b)-2bar(c);bar(q)=3bar(a)-2bar(b)+bar(c)&bar(r)=bar(a)-4bar(b)+2bar(c) .If v_(1),v_(2) are the volumes of parallelopiped determined by the vectors bar(a),bar(b),bar(c) and bar(p),bar(q),bar(r) respectively then v_(2):v_(1) is

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)

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)

The angle between (bar(A)timesbar(B))) and (bar(B)timesbar(A)) is (in radian)