Prove that `[vec(a)+vec(b),vec(b)+vec( c) , vec( c) +vec(a)] =2 [vec(a),vec(b),vec(c )]`.

Prove that [vec(a),vec(b),vec( c) +vec(d)]=[vec(a),vec(b),vec( c)] +[vec(a),vec(b),vec(d)] .

(vec b xx vec c) xx (vec c xx vec a ) =

The value of [vec(a)-vec(b) vec(b)-vec(c) vec(c)-vec(a)] is equal to

If vec(a), vec(b), vec(c ) are unit vectors such that vec(a) + vec(b) + vec(c )= vec(0), " then " vec(a).vec(b) + vec(b).vec(c ) + vec(c ).vec(a) =

Three vectors overline(a),overline(b) and overline(c) satisfy the condition vec(a)+vec(b)+vec(c)=vec(0) evaluate mu=vec(a).vec(b)+vec(b).vec(c)+vec(c).vec(a) if |vec(a)|=1,|vec(b)|=4 and |vec(c)|=2

If vec(a), vec(b)" and "vec(c) are three unit vectors such that vec(a)+vec(b)+vec(c)=vec(O) , find the value of vec(a).vec(b)+vec(b).vec(c)+vec(c).vec(a) .

If [vec(a),vec(b),vec(c)] denotes the scalar triple product of the vectors vec(a),vec(b),vec(c) , then [vec(a)+vec(b),vec(b)+vec(c),vec(c)+vec(a)] is equal to

If vec(a) = 2hat(i) - 3hat(j) + 4hat(k), vec(b) = hat(i) + 2hat(j) - 3hat(k) and vec(c ) = 3hat(i) + 4hat(j) - hat(k) , then find vec(a).(vec(b) xx vec(c )) and (vec(a) xx vec(b)).vec(c ) . Is, vec(a).(vec(b) xx vec(c )) = (vec(a) xx vec(b)).vec(c ) ?

If vec(a) = 3vec(i) - 2vec(j) + 2vec(i), vec(b) = 6vec(i) + 4vec(j) - 2vec(k), vec(c ) = 3hat(i) - 2hat(j) - 4hat(k) , Then vec(a).(vec(b) xx vec(c )) is