" ectors "alpha i+j+hat k,i+betahat j+hat k,hat i+hat j+gammahat k,(alpha,beta,gamma!=1)" are coplanar,then the value or "(1)/(1-alpha)+(1)/(1-beta)+(1)/(1-alpha)

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) .

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 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 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 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)=

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)=

If vec a=2 hat i+ hat j+ hat k , vec b= hat i+2 hat j+2 hat k , vec c= hat i+ hat j+2 hat k and (1+alpha) hat i+beta(1+alpha) hat j+ gamma(1+alpha)(1+beta) hat k = vec axx( vec bxx vec c),then alpha,betaa n dgamma are a. -2,-4,-2/3 b. 2,-4,2/3 c. -2,4,2/3 d. 2,4,-2/3

Let alpha, beta and gamma be distinct real numbers. The points whose position vector's are alpha hat i + beta hat j+gamma hat k; beta hat i+gamma hat j+alpha hat k and gamma hat i+alpha hat j+beta hat k a. are collinear. b. forms an equilateral triangle. c. forms a scalene triangle. d. forms a right angled triangle.