REMAINDER AND BAR

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) are position vectors of vertices A,B,C of Delta ABC. If bar(r) is position vector of apoint P such that (|bar(b)-bar(c)|+|bar(c)-bar(a)|+|bar(a)-bar(b)|)bar(r)=|bar(b)-bar(c)|bar(a)+|bar(c)-bar(a)|bar(b)+|bar(a)-bar(b)|bar(c) then the point P is

The vectors bar X and bar Y satisfy the equations 2bar X =bar p,bar X+2bar Y =bar q where bar p=bar i+bar j and bar q=bar i-bar j. If theta is the angle between bar X and bar Y then

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

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

Let bar(u),bar(v),bar(w) be such that |bar(u)|=1, |bar(v)|=2, |bar(w)|=3 If the projection of bar(v) along bar(u) is equal to that of bar(w) along bar(u) and bar(v),bar(w) are perpendicular then |bar(u)-bar(v)+bar(w)|=

Let bar(u),bar(v),bar(w) be such that |bar(u)|=1, |bar(v)|=2, |bar(w)|=3 If the projection of bar(v) along bar(u) is equal to that of bar(w) along bar(u) and bar(v),bar(w) are perpendicular then |bar(u)-bar(v)+bar(w)|=

Let bar(u),bar(v),bar(w) be such that |bar(u)|=1, |bar(v)|=2, |bar(w)|=3 If the projection of bar(v) along bar(u) is equal to that of bar(w) along bar(u) and bar(v),bar(w) are perpendicular then |bar(u)-bar(v)+bar(w)|=

If bar(a) is a perpendicular to bar(b) and bar(c), |bar(a)|=2, |bar(b)|=3, |bar(c)|=4 and the angle between bar(b) and bar(c) is (2pi)/(3) then |[bar(a) bar(b) bar(c)]| =