If `ahati+hatj+hatk` `hati+bhatj+hatk` `hati+hatj+chatk` are coplaner then `1/(1-a)+1/(1-b)+1/(1-c)=`

If the vectors a hati + hatj + hatk , hati + b hatj + hatk and hati + hatj + chatk are coplanar where a ne 1 , b ne 1 , c ne 1 , prove that 1/(1-a)+1/(1+b)+1/(1-c) = 1 .

If the vectors vecalpha = a hati + hatj + hatk, vecbeta = hati + b hatj + hatk and vec gamma = hati + hatj + c hatk are coplanar, then prove that (1)/(1-a ) +(1)/(1-b)+ (1)/(1-c)=1 where a ne 1, b ne 1 and c ne 1

If the four points with position vectors -2hati+hatj+hatk, hati+hatj+hatk, hatj-hatk and lamda hatj+hatk are coplanar then lamda= (A) 1 (B) 2/3 (C) -1 (D) 0

If the vectors ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1, b!=1,c!=1) are coplanar then the value of 1/(1-a)+1/(1-b)+1/(1-c) is (A) 0 (B) 1 (C) -1 (D) 2

If the vectors ahati+hatj+hatk,hati+bhatj+hatk and hati+hatj+chatk are coplanar (a ne b ne c ne 1) , then the value of abc - (a+b+c) =

If the vectors ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1, b!=1,c!=1) are coplanat then the value of 1/(1-a)+1/(1-b)+1/(1-c) is (A) 0 (B) 1 (C) -1 (D) 2

If the four points with position vectors -2hati+hatk, hati+hatj+hatk, hatj-hatk and lamda hatj+hatk are coplanar then lamda= (A) 1 (B) 2/3 (C) -1 (D) 0

If a=hati+hatj+hatk,a.b=1andaxxb=hatj-hatk then b=

Force hati + 2hatj -3hatk , 2hati + 3hatj + 4hatk and -hati - hatj + hatk are acting at the point P(0,1,2) . The moment of these forces about the point A(1,-2,0) is