[" 1f the vectors "(ahat i+ahat j+chat k),(hat i+hat k)" and "(chat i+chat j+bhat k)" be coplanar,show "],[" that "z^(2)=ab" ."]

If the vector ahat i+ a hat j+ c hatk, hat i+hatk and chat i+c hat j+b hat k be coplanar, show that c^2= ab .

If the vectors (ahat(i)+a hat(j)+chat(k)), (hat(i)+hat(k)) and (c hat(i)+c hat(j)+b hat(k)) be coplanar, show that c^(2)=ab .

If the vectors ahat (i) + a hat (j) + c hat (k) , hat (i) + hat (k) and c hat (i) + c hat (j) + b hat (k) be coplanar, show that c^(2) = ab

If the vectors ahat(i)+ahat(j)+chat(k),hat(i)+hat(k) and chat(i)+chat(j)+bhat(k) are coplanar then show that c^(2)=ab

If the vectors vec alpha=ahat i+ahat j+chat k,vec beta=hat i+hat k and vec gamma=chat i+chat j+bhat k are coplanar,then prove that c is the geometric mean of a and b.

If the vectors ahat i+hat j+hat k , hat i+bhat j+hat k and hat i+hat j+chat k(a!=b!=c!=1) are coplanar,then the value of (1)/(1-a)+(1)/(1-b)+(1)/(1-c) .

Let a,b,c be distinct non- negative numbers . If the vectors ahat(i) + ahat(j) + chat(k) , hat(i) + hat(k) " and " chat(i) + c hat(j) + bhat(k) lie in a plane then c is

Let a,b,c be distinct non- negative numbers . If the vectors ahat(i) + ahat(j) + chat(k) , hat(i) + hat(k) " and " chat(i) + c hat(j) + bhat(k) lie in a plane then c is

Let a,b,c be distinct non- negative numbers . If the vectors ahat(i) + ahat(j) + chat(k) , hat(i) + hat(k) " and " chat(i) + c hat(j) + bhat(k) lie in a plane then c is

(a.hat i ) hat i + ( a. hat j) hat j + (a.hat k) hat k =