0.bar(24)

Represent the following as rational numbers : (i) 0.bar43 (ii) 0.4bar3 (iii) 24.28bar(137)

Represent the following as rational numbers : (i) 0.bar43 (ii) 0.4bar3 (iii) 24.28bar(137)

If bar(a),bar(b),bar(c) are coplanar then the value of |[bar(a),bar(b),bar(c)],[bar(a)*bar(a),bar(a)*bar(b),bar(a)*bar(c)],[bar(b).bar(a),bar(b)*bar(b),bar(b)*bar(c)]|=

If bar(a),bar(b) and bar( c ) are unit vectors such that bar(a)+bar(b)+bar( c )=bar(0) , then the value of bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a)=…………

bar( r )xx bar(a)=bar(b)xx bar(a),bar( r )xx bar(b)=bar(a)xx bar(b),bar(a) ne bar(0),bar(b) ne bar(0)bar(a)ne lambda bar(b) . If bar(a).bar(b)=0 then bar( r ) = ………….

If bar(a)=bar(i)+bar(j)+bar(k) and bar(b)=bar(j)-bar(k) , then find a vector vec( c ) such that bar(a)xx bar( c )=bar(b) and bar(a).bar( c )=3 .

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

Let bar(a),bar(b) be two non-collinear unit vectors, if bar(alpha) = bar(a) -(bar(a).bar(b))bar(b) and bar(beta) = bar(a) xx bar(b), then show that |bar(beta)| = |bar(alpha)| .

If [(bar(a)+2bar(b)+3bar(c))times(bar(b)+2bar(c)+3bar(a))].(bar(c)+2bar(a)+3bar(b))=54 , where bar(a),bar(b)&bar(c) are 3 non coplanar vectors then |[bar(a).bar(a)quad bar(a).bar(b)quad bar(a).bar(c)],[bar(b).bar(a)quad bar(b).bar(b)quad bar(b).bar(c)],[bar(c).bar(a)quad bar(c).bar(b)quad bar(c).bar(c)]|

If bar(AD),bar(BE) and bar(CF) " are the medians of " DeltaABC , then find the value of bar(BC).bar(AD)+bar(CA).bar(BE)+bar(AB).bar(CF) .