Let a,b and c be distinct non-negative numbers. If the vectors `ahati + ahatj + chatk, hati +hatk` and `chati+chatj+chatk` lie in a plane,then c is:

Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj+chatk, hati+hatk and chati+chatj+bhatk lies in a plane then c is

Let a, b and c be distinct non-negative numbers. If vectos a hati +a hatj +chatk, hati + hatk and chati +chatj+bhatk are coplanar, then c is

Let a,b and c be distinct non-negative numbers and the vectors ahati+ahatj+chatk,hati+hatk,chati+chatj+bhatk lie in a plane, then the quadratic equation ax^(2)+2cx+b=0 has

Let a,b and c be distinct non-negative numbers and the vectors ahati+ahatj+chatk,hati+hatk,chati+chatj+bhatk lie in a plane, then the quadratic equation ax^(2)+2cx+b=0 has

Let a ,b ,c be distinct non-negative numbers and 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 in a plane, and then prove that the quadratic equation a x^2+2c x+b=0 has equal roots.

vecx and vecy are two mutually perpendicular unit vectors. If the vectors ahatx + ahaty + c(hatx xx haty), hatx + (hatx xx haty) and chatx + chaty +b (hatx xx haty) , lie in a plane then c is: (A) a,b,c are in AP (B) a,b,c are in GP (C) a,b,c are in HP (D) a,c,b are in GP

The vectors 2hati+hatj-4hatk and ahati+bhatj+chatk are perpendicular, if

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

The number of real values of a for which the vectors hati+2hatj+hatk, ahati+hatj+2hatk and hati+2hatj+ahatk are coplanar is

If the vectors 2 hati +3 hat j +chatj and -3hat i+6hatk are orthogonal, the value of c is :