[" If the vector "ai+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 "],[(1)/(1-a)+(1)/(a-b)+(1)/(1-c)" is equal to "]

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) .

Find λ if the vectors hat i-hat j+ hat k, 3 hat i+ hat j+ 2 hat k and hat i+ λ hat j- 3 hat 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

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

If the vectors vec A = a hat i + hat j + hat k, vec B = hat i + b hat j + hat k and vec C = hat i + hat j + chat k are coplanar, then (1)/(1-a) + (1)/(1-b) +(1)/(1-c) = 1 where a,b, c ne 1 .

If the vector ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k)andhat(i)+hat(j)+chat(k)(anebnecne1) are coplanar, then (1)/(1-a)+(1)/(1-b)+(1)/(1-c)=

Prove that the vectors 2 hat i- hat j+ hat k , hat i- 3 hat j- 5 hat k and 3 hat i- 4 hat j- 4 hat k are coplanar.

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)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+hat(j)+chat(k), (anebnec) are coplanar, then (1)/(1-a)+(1)/(1-b)+(1)/(1-c)=