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`.

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 and c b the distinct non-negative numbers. If the vectors a hat(i) + a hat(j) + c hat(k), hat(i) + hat(k), c hat(i) + c hat(j) + b hat(k) lie on a plane, then which one of the following is correct?

If the vectors a hat(i) + hat(j) + hat(k), hat(i) + b hat(j) + hat(k) and hat(i) + hat(j) + c hat(k) (a,b ne 1) are coplanar then the value of (1)/(1-a) + (1)/(1-b) + (1)/(1-c) is equal to

Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2hat(i)-5hat(j)+3hat(k) are coplanar.

If the vectors a hat(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) is equal to

Show that the vectors hat(i)-3hat(j)+4hat(k),2hat(i)-hat(j)+2hat(k)and 4hat(i)-7hat(j)+10hat(k) are coplanar.

The vectors lamdahat(i)+hat(j)+2hat(k),hat(i)+lamdahat(j)-hat(k) and 2hat(i)-hat(j)+lamda hat(k) are coplanar, if

If the vectors hat(i)-2hat(j)+hat(k),ahat(i)+5hat(j)-3hat(k)and5hat(i)-9hat(j)+4hat(k) are coplanar, then the value of a is