`bar(A.bar(B)+bar(A).B)` is equivalent to

If [bar(a)bar(b)bar(c)]!=0andbar(p)=(bar(b)xxbar(c))/([bar(a)bar(b)bar(c)]),bar(q)=(bar(c)xxbar(a))/([bar(a)bar(b)bar(c)]),bar(r)=(bar(a)xxbar(b))/([bar(a)bar(b)bar(c)]) , then bar(a)*bar(p)+bar(b)*bar(q)+bar(c)*bar(r) is equal to

If bar(a),bar(b) and bar(c) are perpendicular,bar(c)+bar(a),bar(b)+bar(c) and bar(a)+bar(b)+ respectively and if |bar(a)+bar(b)|=6,|bar(b)+bar(c)|=8 and |bar(c)+bar(a)|=10 then |bar(a)+bar(b)+bar(c)| is equal to

bar(a),bar(b),bar(c) are three vectors such that |bar(a)|=1,|bar(b)|=2,|bar(c)|=3 and bar(b),bar(c) are perpendicular to each other.If the projection of bar(b) along bar(a) is same as that of bar(c) along bar(a) then |bar(a)-bar(b)+bar(c)| is equal to

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)|=|bar(b)|=|bar(c)|=2 and bar(a).bar(b)=bar(b).bar(c)=bar(c).bar(a)=2 then [bar(a) bar(b) bar(c)] equal to

bar(a) , bar(b) and bar(c) are three vectors such that bar(a) + bar(b) + bar(c) = bar(0) and |bar(a)| =2, |bar(b)| =3, |bar(c)| =5 ,then bar(a) . bar(b) + bar(b) . bar(c) + bar(c) . bar(a) equals

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) ,then the value of |bar(a)+bar(b)-bar(c)| is

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) on is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) then the value of |bar(a)+bar(b)-bar(c)| is

The vector abar(i)+b""bar(j)+cbar(k) is a bisector of the angle between the vectors bar(i)+bar(j) and bar(j)+bar(k) if

The value of a for which the angle between bar(a)=2a^(2)bar(i)+4abar(j)+bar(k) and bar(b)=7bar(i)-2bar(j)+abar(k) is obtuse and the angle between bar(b) and z-axis is acute and less than (pi)/(6) is