" 22.Prove that : "[bar(a)+bar(b),bar(b)+bar(c),bar(c)+bar(a)]=2[bar(ab)c]

Using properties of scalar triple product, prove that [(bar(a) + bar(b),bar(b) + bar(c), bar(c) + bar(a))] = 2 [(bar(a),bar(b),bar(c))]

If bar(a),bar(b)andbar(c) are any three vectors, prove that (1) [bar(a)+bar(b) bar(b)+bar(c) bar(c)+bar(a)]=2[bar(a)bar(b)bar(c)] (2) [bar(a) bar(b)+bar(c) bar(a)+bar(b)+bar(c)]=0

If [bar(a)+2bar(b)2bar(b)+bar(c)5bar(c)+bar(a)]=k[bar(a)bar(b)bar(c)]

If bar(a),bar(b),bar(c) are any three vectors, prove that (1) [bar(a)+bar(b)" "bar(a)+bar(c)" "bar(b)]=[bar(a)" "bar(c)" "bar(b)] (2) [bar(a)-bar(b)" "bar(b)-bar(c)" "bar(c)-bar(a)]=0 .

Show that (bar(a)+bar(b)) . [(bar(b)+bar(c)) xx (bar(c )+bar(a))] = 2[bar(a)bar(b)bar(c )] .

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

If bar(a), bar(b), bar(c ) respresents the vertices A, B, and C respectively of DeltaABC then prove that |(bar(a) xx bar(b)) + (bar(b) xx bar(c ))+ (bar(c ) xx bar(a))| is twice the area of DeltaABC .

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)] = (1). 3sqrt(2) (2). 4sqrt(2) (3).32 (4).48

([[bar(a),bar(b),bar(c)]])/([[bar(b),bar(a),bar(c)]]) =

(bar(a)+2bar(b)-bar(c))*(bar(a)-bar(b))xx(bar(a)-bar(bar(c)))=