Let bar(a) bar(b) and bar(c) be three non-zero vectors such that no two of them are collinear and (bar(a)timesbar(b))timesbar(c)=(1)/(3)|bar(b)||bar(c)|^(bar(a)) if theta is angle between vectors bar(b) and bar(c) then a value of sin theta is

If (|veca+vecb|)/(|veca-vecb|)=1 , then angle between bar(a)" and "bar(b) is :-

The resultant of the three vectors bar(OA),bar(OB) and bar(OC) shown in figure :-

IF bar(a),bar(b),bar(c ) are vectors from the origin to three points A,B,C show that bara times barb +barb times barc+barc times bara is perpendicular to the plane ABC.

Show that points with p.v bar(a)-2bar(b)+3bar(c ),-2bar(a)+3bar(b)-bar(c ),4bar(a)-7bar(b)+7bar(c ) are collinear. It is given that vectors bara,barb,bar c are non-coplanar.

In the Boolean algebra bar(A).bar(B) equals

bar(A.barB+barA.B) is equivalent to

Let bar a,bar b,bar c be three non-coplanar vectors and bar d be a non-zero vector, which is perpendicularto bar a+bar b+bar c . Now, if bar d= (sin x)(bar a xx bar b) + (cos y)(bar b xx bar c) + 2(bar c xx bar a) then minimum value of x^2+y^2 is equal to

In the circle above with diameter d, chords bar(PQ) and bar(TU) are parallel to diameter bar(RS) . If bar(PQ) and bar(TU) are each (3)/(4) of the length of bar(RS) , what is the distance between chords bar(PQ) and bar(TU) in terms of d?

bar(QR)=bar(RS) . If the area of Delta RST is (c )/(2) , what is the area of Delta QSP ?

If A and B are independent events such that P(A) = 0.3 and P(B) = 0 . 4 then P(bar(A) cup bar(B)) =