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 bara,barb,barc are non-coplanar vectors then [bar(a)+2bar(b)" "bar(a)+bar(c)" "bar(b)]=

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 bar(u),bar(v),bar(w) are three non coplanar vectors then (bar(u)+bar(v)-bar(w))*{(bar(u)-bar(v))xx(bar(v)-bar(w))}=

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 non-zero, non -coplanar vectors, then show that the vectors 2bar(a)-5bar(b)+2bar(c),bar(a)+5bar(b)-6bar(c)and3bar(a)-4bar(c) are coplanar.

If bar(a) , bar(b) , bar(c) are non -zero,non - coplanar vectors and bar(a)+bar(b)+bar(c) , -a+8bar(b)+7bar(c) , 5bar(a)+lambdabar(b)-3bar(c) are coplanar,then the value of |lambda| is

bar(a)*{(bar(b)+bar(c))times(bar(a)+bar(b)+bar(c))}=...... ,

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),bar(b) and bar(c) are non-coplanar unit vectors such that bar(a)times(bar(b)timesbar(c))=(1)/(sqrt(2))(bar(b)+bar(c)) ],then which of the following statements are correct A. (bar(a),bar(c))=(3 pi)/(4) B. (bar(a),bar(b))=(3 pi)/(4) C. (bar(a),bar(b)+bar(c))=(pi)/(2) D.(bar(b),bar(c))=0