If `bar(a)=bar(i)+bar(j)+bar(k),bar(b)=2bar(i)+3bar(j),bar(c)=3bar(i)+5bar(j)-2bar(k)`and `bar(d)=bar(k)-bar(j)` ,then the ratio of modulus of `bar(b)-bar(a)` and `bar(d)-bar(c)` is

(bar(a)*bar(i))^(2)+(bar(a)*bar(j))^(2)+(bar(a)*bar(k))^(2)=

Evaluate 3.bar(2)-0.bar(16)

In a regular hexagon ABCDEF, bar(AB) + bar(AC)+bar(AD)+ bar(AE) + bar(AF)=k bar(AD) then k is equal to

Evaluate : 2.bar(7)+1.bar(3)

Identify the locus of z if bar z = bar a +(r^2)/(z-a).

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.

Let O be the origin and let PQR be an arbitrary triangle. The point S is such that bar(OP)*bar(OQ)+bar(OR)*bar(OS)=bar(OR)*bar(OP)+bar(OQ)*bar(OS)=bar(OQ)*bar(OR)+bar(OP)*bar(OS) Then the triangle PQR has S as its

Evaluate : 2.bar(5)-0.bar(35)

Evaluate : 1.bar(45)+0.bar(3)

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