If angle between unit vectors `bar(P)` and `bar(Q)` is `60^(0)` then `|bar(P)+bar(Q)|` is

If theta is the angle between unit vectors bar(A) and bar(B) then (1-bar(A).bar(B))/(1+bar(A)*bar(B)) is equal to

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

bar(a) and bar(c) are unit vectors and |bar(b)|=4 with bar(a)xxbar(b)=2bar(a)xxbar(c). The angle between bar(a) and bar(c) is cos^(-1)((1)/(4))* Then bar(b)-2bar(c)=lambdabar(a) If lambda is

If the vector -bar(i)+bar(j)-bar(k) bisects the angles between the vector bar(c) and the vector 3bar(i)+4bar(j) ,then the unit vector in the direction of bar(c) is

If the vector bar(i)-bar(j)+bar(k) bisects the angle between the vector bar(a) and the vector 4bar(i)+3bar(j) , then the unit vector in the direction of bar(a) is (xbar(i)+ybar(j)+zbar(k)) then x-15y+5z is equal to

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

If is the angle between plane bar(r).bar(n)=p and the line bar(r).bar(a)=lamdabar(b)

Let bar(a),bar(b),bar(c) be unit vectors such that bar(a)*bar(b)=bar(a).bar(c)=0 and the angle between bar(b) and bar(c) is (pi)/(6) if bar(a)=n(bar(b)xxbar(c)), then value of n is

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 |vec a|=2,|vec b|=sqrt(3) and (bar(a),bar(b))=30^(@) then the angle between the vectors bar(b) and bar(a)-bar(b) is