JEE Main 202125 Jul, Morning shiftMathematicsMediumVector Algebra184× since 2002Let the vectors (2+a+b)i^+(a+2b+c)j^−(b+c)k^,(1+b)i^+2bj^−bk^(2 + a + b)\widehat i + (a + 2b + c)\widehat j - (b + c)\widehat k,(1 + b)\widehat i + 2b\widehat j - b\widehat k(2+a+b)i+(a+2b+c)j−(b+c)k,(1+b)i+2bj−bk and (2+b)i^+2bj^+(1−b)k^(2 + b)\widehat i + 2b\widehat j + (1 - b)\widehat k(2+b)i+2bj+(1−b)k, a,b,c,∈Ra,b,c, \in Ra,b,c,∈R be co-planar. Then which of the following is true?AOption A. 2b = a + cBOption B. 3c = a + bCOption C. a = b + 2cDOption D. 2a = b + cCheckSkip · show solution
